Tanzania fertilizer use efficiency, profitability and risks across time

1 Introduction

This notebook provides R code for the paper on estimating the heterogenous treatment effects in Tanzania using non-parametric geoadditive and causal machine learning (ML) models. The analytics focus on addressing the following analysis questions:

2 Exploration

# package names
packages <- c("gplots", "modelsummary", "grf", "policytree", "ggplot2", "micEcon", "frontier", "dplyr", "tidyr", "knitr", "car", "RColorBrewer", "DT", "rio", "tidyr", "dsfa", "mgcv", "geodata", "sf", "mapview", "dplyr", "terra", "raster", "ggridges", "rio", "BART", "BART", "BayesTree", "bartCause", "plm", "rlearner")

# install packages
# installed_packages <- packages %in% rownames(installed.packages())
# if (any(installed_packages == FALSE)) {
#     install.packages(packages[!installed_packages])
# }

# load packages
invisible(lapply(packages, library, character.only = TRUE))
# install.packages("collapse", repos = "https://fastverse.r-universe.dev")
library(rio)


#tz_lsms_panel <- import("tz_lsms_panel_plot_level_221117.dta")
tz_lsms_panel <- import("tz_lsms_panel.csv")

tz_lsms_panel$yld_[tz_lsms_panel$yld_ > quantile(tz_lsms_panel$yld_, 0.99, na.rm = TRUE)] <- NA
tz_lsms_panel$N_kgha[tz_lsms_panel$N_kgha > quantile(tz_lsms_panel$N_kgha, 0.99, na.rm = TRUE)] <- NA

tz_lsms_panel$plotha[tz_lsms_panel$plotha > quantile(tz_lsms_panel$plotha, 0.99, na.rm = TRUE)] <- NA

tz_lsms_panel$N_kgha_dum <- 0
tz_lsms_panel$N_kgha_dum[tz_lsms_panel$N_kgha > 0] <- 1

tz_lsms_panel$N_kgha_dum <- as.numeric(tz_lsms_panel$N_kgha_dum)

tz_lsms_panel$N_kgha_cond <- tz_lsms_panel$N_kgha
tz_lsms_panel$N_kgha_cond[tz_lsms_panel$N_kgha_dum == 0] <- NA

tz_lsms_panel$N_kgha_cond <- as.numeric(tz_lsms_panel$N_kgha_cond)


tz_lsms_panel=subset(tz_lsms_panel, !(is.na(tz_lsms_panel$yld_)))
tz_lsms_panel=subset(tz_lsms_panel, !(is.na(tz_lsms_panel$N_kgha)))
tz_lsms_panel=subset(tz_lsms_panel, !(is.na(tz_lsms_panel$plotha)))
tz_lsms_panel=subset(tz_lsms_panel, !(is.na(tz_lsms_panel$P_kgha)))
tz_lsms_panel=subset(tz_lsms_panel, !(is.na(tz_lsms_panel$harv_yld_mai)))

tz_lsms_panel$soc_5_15cm=tz_lsms_panel$`soc_5-15cm`
tz_lsms_panel$nitrogen_0_5cm=tz_lsms_panel$`nitrogen_0-5cm`
tz_lsms_panel$sand_0_5cm=tz_lsms_panel$`sand_0-5cm`
tz_lsms_panel$ECN_5_15cm=tz_lsms_panel$`ECN_5-15cm`
tz_lsms_panel$pH_0_5cm=tz_lsms_panel$`pH_0-5cm`

3 Descriptives table

library(modelsummary)

mean_na <- function(x) mean(x, na.rm = TRUE)
sd_na <- function(x) SD(x, na.rm = TRUE)
summary_table_by_year <- datasummary(Heading("N obs") * N + Heading("%") * Percent() + (yld_ + N_kgha_dum  +N_kgha_cond+ N_kgha + P_kgha+plotha + ncrops + hhmem + femhead + headeduc + arain_tot+arain_cv) * (mean_na + sd_na) ~ Factor(year), data = tz_lsms_panel, output = "data.frame")

summary_table_by_year_mean <- datasummary(Heading("N obs") * N + Heading("%") * Percent() + (yld_ + N_kgha_dum  +N_kgha_cond+ N_kgha + P_kgha+plotha + ncrops + hhmem + femhead + headeduc + arain_tot+arain_cv) * (mean_na) ~ Factor(year), data = tz_lsms_panel, output = "data.frame")




library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('summary_table_by_year', 'summary_table_by_year.csv')"
        ),
        reactable(
            summary_table_by_year,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "summary_table_by_year"
        )
    )
)

library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('summary_table_by_year_mean', 'summary_table_by_year_mean.csv')"
        ),
        reactable(
            summary_table_by_year_mean,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "summary_table_by_year_mean"
        )
    )
)

# # By district and by year
# summary_table_by_year_dist <- datasummary(Heading("N obs") * N + Heading("%") * Percent() + (yld_ + N_kgha_g_0  + N_kgha + plotha + P_kgha + ncrops + hhmem + femhead + headeduc + arain_tot) * (mean_na + sd_na) ~ Factor(year*district), data = tz_lsms_panel, output = "data.frame")
# 
# library(reactable)
# library(htmltools)
# library(fontawesome)
# 
# htmltools::browsable(
#     tagList(
#         tags$button(
#             tagList(fontawesome::fa("download"), "Download as CSV"),
#             onclick = "Reactable.downloadDataCSV('summary_table_by_year_dist', 'summary_table_by_year_dist.csv')"
#         ),
#         reactable(
#             summary_table_by_year,
#             searchable = TRUE,
#             defaultPageSize = 38,
#             elementId = "summary_table_by_year_dist"
#         )
#     )
# )


tz_lsms_panel$region=as.factor(tz_lsms_panel$region)
tz_lsms_panel$year=as.factor(tz_lsms_panel$year)

# By district and by year
summary_table_by_year_region <- datasummary(Heading("N obs") * N + Heading("%") * Percent() + (yld_ + N_kgha_dum  +N_kgha_cond+ N_kgha + P_kgha+plotha+ ncrops + hhmem + femhead + headeduc + arain_tot)*(mean_na) ~ year*region, data = tz_lsms_panel, output = "data.frame")

summary_table_by_year_region_mean <- datasummary(Heading("N obs") * N + Heading("%") * Percent() + (yld_ + N_kgha_dum  +N_kgha_cond+ N_kgha + P_kgha+plotha + ncrops + hhmem + femhead + headeduc + arain_tot)*(mean_na) ~ year*region, data = tz_lsms_panel, output = "data.frame")


summary_table_by_year_region_t=t(summary_table_by_year_region)
summary_table_by_year_region_mean_t=t(summary_table_by_year_region_mean)

library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('summary_table_by_year_region_t', 'summary_table_by_year_region_t.csv')"
        ),
        reactable(
            summary_table_by_year_region_t,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "summary_table_by_year_region_t"
        )
    )
)

library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('summary_table_by_year_region_mean_t', 'summary_table_by_year_region_mean_t.csv')"
        ),
        reactable(
            summary_table_by_year_region_mean_t,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "summary_table_by_year_region_mean_t"
        )
    )
)

4 Graphics

library(gplots)
plotmeans(yld_ ~ year, main="Yield heterogeineity across years",xlab="Year", ylab="Maize yield (kg/ha)", data=tz_lsms_panel)

library(gplots)
plotmeans(N_kgha ~ year, main="N per ha heterogeineity across years", data=tz_lsms_panel,xlab="Year", ylab="Average N per ha" )

plotmeans(arain_tot~ year, main="Rainfall across years", data=tz_lsms_panel,xlab="Year", ylab="Average total rainfall (mm)" )

library(easynls)
library(lme4)
library(data.table)
library(ggplot2)

# summary_table_by_year_mean_t=t(summary_table_by_year_mean)
# 
# ggplot(summary_table_by_year_mean) +
#   geom_line(aes(x=N, y=Y, group=year, color=year))
# 
# ggplot(summary_table_by_year_region) +
#   geom_line(aes(x=N, y=Y, group=region, color=region))

5 Conventional Production Function Approach

5.1 Linear and non-linear parameter models: e.g., Quadratic

library(data.table)
library(ggplot2)
library(easynls)
library(lme4)
library(nlme)

tz_lsms_panel=data.table(tz_lsms_panel)
tz_lsms_panel$year=as.factor(tz_lsms_panel$year)

#tz_lsms_panel_sf_subset=subset(tz_lsms_panel_sf, #select=c("V1","yld_","harv_yld_mai","N_kgha","P_kgha","year","soc_5-15cm","population_density","wc2.1_30s_elev","#sand_0-5cm","nitrogen_0-5cm","ECN_5-15cm","pH_0-5cm"))                                                      

#library(tidyr)
#tz_lsms_panel_sf_subset=tz_lsms_panel_sf_subset %>% drop_na()

# Linear
baseline_ols=lm(yld_~N_kgha+plotha+P_kgha+ncrops+hhmem+femhead+headeduc+arain_tot+region+year,data=tz_lsms_panel)

summary(baseline_ols)

Call:
lm(formula = yld_ ~ N_kgha + plotha + P_kgha + ncrops + hhmem + 
    femhead + headeduc + arain_tot + region + year, data = tz_lsms_panel)

Residuals:
    Min      1Q  Median      3Q     Max 
-2276.9  -440.5  -178.2   201.4  5410.4 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  7.339e+02  5.672e+01  12.937  < 2e-16 ***
N_kgha       8.740e+00  4.734e-01  18.463  < 2e-16 ***
plotha      -1.358e+02  6.983e+00 -19.450  < 2e-16 ***
P_kgha       5.709e+00  7.465e-01   7.647 2.26e-14 ***
ncrops      -5.799e+01  9.087e+00  -6.382 1.83e-10 ***
hhmem        1.498e+01  2.681e+00   5.590 2.34e-08 ***
femhead     -8.102e+01  1.881e+01  -4.306 1.68e-05 ***
headeduc     5.489e+01  1.269e+01   4.326 1.53e-05 ***
arain_tot   -9.941e-03  2.352e-02  -0.423 0.672523    
region2      3.340e+02  5.912e+01   5.649 1.66e-08 ***
region3      1.898e+02  5.912e+01   3.210 0.001330 ** 
region4      1.639e+02  5.139e+01   3.190 0.001427 ** 
region5      9.571e+01  5.310e+01   1.802 0.071506 .  
region6     -2.386e+02  8.462e+01  -2.819 0.004823 ** 
region7      7.442e+01  1.028e+02   0.724 0.469276    
region8     -1.022e+02  5.462e+01  -1.870 0.061448 .  
region9     -1.677e+02  4.873e+01  -3.441 0.000583 ***
region10     5.772e+01  5.082e+01   1.136 0.256121    
region11     2.204e+02  4.854e+01   4.541 5.67e-06 ***
region12     3.337e+02  4.719e+01   7.073 1.63e-12 ***
region13     1.397e+02  6.147e+01   2.272 0.023080 *  
region14    -1.022e+00  4.787e+01  -0.021 0.982975    
region15     4.573e+02  5.585e+01   8.189 2.99e-16 ***
region16    -3.991e+01  5.644e+01  -0.707 0.479530    
region17    -3.052e+01  5.167e+01  -0.591 0.554778    
region18    -1.510e+02  6.044e+01  -2.498 0.012512 *  
region19    -1.064e+02  5.697e+01  -1.869 0.061714 .  
region20    -2.175e+01  7.066e+01  -0.308 0.758166    
region21     4.673e+02  6.363e+01   7.344 2.24e-13 ***
region22     1.517e+01  8.852e+01   0.171 0.863907    
region23     4.757e+02  8.977e+01   5.299 1.19e-07 ***
region24     9.621e+01  6.453e+01   1.491 0.136034    
region25     1.258e+02  8.649e+01   1.454 0.145846    
region26     3.356e+02  1.713e+02   1.960 0.050049 .  
region51    -9.463e+01  2.206e+02  -0.429 0.668021    
region52    -1.786e+02  3.095e+02  -0.577 0.563956    
region53     9.781e+02  5.327e+02   1.836 0.066384 .  
region54    -9.700e+01  1.732e+02  -0.560 0.575529    
region55    -4.864e+02  2.869e+02  -1.695 0.090023 .  
year2010     5.237e+01  2.602e+01   2.013 0.044176 *  
year2012     2.558e+01  2.514e+01   1.017 0.308957    
year2014     2.145e+02  2.796e+01   7.671 1.87e-14 ***
year2020     1.759e+02  2.990e+01   5.885 4.13e-09 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 751 on 9318 degrees of freedom
  (65 observations deleted due to missingness)
Multiple R-squared:  0.1938,    Adjusted R-squared:  0.1902 
F-statistic: 53.33 on 42 and 9318 DF,  p-value: < 2.2e-16

# Lm List by year
baseline_ols_yearList <- lmList(yld_~N_kgha+plotha+P_kgha+ncrops+hhmem+femhead+headeduc+arain_tot|year,tz_lsms_panel)

baseline_ols_yearList_est <- coef(baseline_ols_yearList)
baseline_ols_yearList_est <-t(as.data.frame(baseline_ols_yearList_est))
order_tab <-rep(1,9)
order_tab <- as.data.frame(order_tab)
baseline_ols_yearList_est_dt=cbind(baseline_ols_yearList_est,order_tab)


baseline_ols_yearList_ci <- confint(baseline_ols_yearList)
baseline_ols_yearList_ci_dt <-t(as.data.frame(baseline_ols_yearList_ci))
order_tab <- rep(2:3,9)
order_tab <- as.data.frame(order_tab)

baseline_ols_yearList_ci_dt=cbind(baseline_ols_yearList_ci_dt,order_tab)

baseline_ols_yearList_est_ci_dt=bind_rows(baseline_ols_yearList_est_dt,baseline_ols_yearList_ci_dt)

write.csv(baseline_ols_yearList_est_ci_dt,"tables/baseline_ols_yearList_est_ci_dt.csv")


library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('baseline_ols_yearList_est_ci_dt', 'baseline_ols_yearList_est_ci_dt.csv')"
        ),
        reactable(
            baseline_ols_yearList_est_ci_dt,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "baseline_ols_yearList_est_ci_dt"
        )
    )
)

(ci <- confint(baseline_ols_yearList))

An object of class "lmList4.confint"
, , (Intercept)

        2.5 %    97.5 %
2008 753.6952 1108.2260
2010 693.6715 1019.4392
2012 587.1459  833.0646
2014 843.9498 1152.8395
2020 930.4129 1245.5588

, , N_kgha

         2.5 %    97.5 %
2008  6.804201 10.533569
2010  5.135811  9.041654
2012  9.739294 13.283728
2014 10.776845 15.272801
2020  7.820350 12.099934

, , plotha

         2.5 %     97.5 %
2008 -160.8936  -87.46432
2010 -204.6546 -138.66503
2012 -152.5085 -103.62371
2014 -133.6674  -69.94889
2020 -148.1365  -86.64075

, , P_kgha

         2.5 %    97.5 %
2008 10.791759 20.100039
2010  6.328560 13.038997
2012 -2.355263  2.685182
2014  3.618337 11.292289
2020  4.595312 11.268829

, , ncrops

          2.5 %      97.5 %
2008 -139.15730 -58.1379880
2010 -131.95260 -46.4961685
2012  -67.49843   0.8182895
2014 -146.46833 -66.4786011
2020 -116.89111 -31.8827618

, , hhmem

         2.5 %   97.5 %
2008 3.8924144 30.85386
2010 6.0049495 29.81852
2012 0.1587785 18.57740
2014 2.3759461 27.57765
2020 1.0715666 23.32364

, , femhead

         2.5 %     97.5 %
2008 -172.0813   4.242785
2010 -165.9178   3.368091
2012 -117.3159  25.918380
2014 -199.0045 -15.986792
2020 -199.0741 -26.895477

, , headeduc

           2.5 %    97.5 %
2008  -0.6231079 134.78593
2010 -43.0080862  84.66444
2012  -7.4391648  85.21241
2014   5.6864344 121.12947
2020 -16.8345142  91.92433

, , arain_tot

           2.5 %     97.5 %
2008 -0.18387466 0.09048751
2010 -0.01880891 0.23780928
2012  0.01570261 0.19941373
2014 -0.05366435 0.14096787
2020 -0.13928780 0.01281851

plot(ci,cex=2, cex.lab=3, xlab="Maize yield (kg/ha) response", ylab="Year")

# Visreg
library(visreg)

tz_lsms_panel_2008 <- subset(tz_lsms_panel,tz_lsms_panel$year=="2008")
tz_lsms_panel_2010 <- subset(tz_lsms_panel,tz_lsms_panel$year=="2010")
tz_lsms_panel_2012 <- subset(tz_lsms_panel,tz_lsms_panel$year=="2012")
tz_lsms_panel_2014 <- subset(tz_lsms_panel,tz_lsms_panel$year=="2014")
tz_lsms_panel_2020 <- subset(tz_lsms_panel,tz_lsms_panel$year=="2020")

baseline_ols_2008 <- lm(yld_~N_kgha+plotha+P_kgha+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2008)

baseline_ols_2010 <- lm(yld_~N_kgha+plotha+P_kgha+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2010)

baseline_ols_2012 <- lm(yld_~N_kgha+plotha+P_kgha+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2012)

baseline_ols_2014 <- lm(yld_~N_kgha+plotha+P_kgha+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2014)

baseline_ols_2020 <- lm(yld_~N_kgha+plotha+P_kgha+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2020)

baseline_ols_2008_v <-visreg(baseline_ols_2008, "N_kgha", plot=FALSE)
baseline_ols_2010_v <-visreg(baseline_ols_2010, "N_kgha", plot=FALSE)
baseline_ols_2012_v <-visreg(baseline_ols_2012, "N_kgha", plot=FALSE)
baseline_ols_2014_v <-visreg(baseline_ols_2014, "N_kgha", plot=FALSE)
baseline_ols_2020_v <-visreg(baseline_ols_2020, "N_kgha", plot=FALSE)


baseline_ols_all_plot <- visregList(baseline_ols_2008_v,baseline_ols_2010_v,baseline_ols_2012_v,baseline_ols_2014_v,baseline_ols_2020_v, collapse=TRUE,
                  labels=c("2008","2010","2012","2014","2020"))
op <- par(mfrow=c(1,5))
par(op)

plot(baseline_ols_all_plot,ylab="Maize yield (kg per ha)",xlab="Applied nitrogen (kg per ha)", ylim=c(0,3000), main="Linear",partial=FALSE,rug=FALSE)

## LINEAR PLATEAU
# library(easynls)
# library(data.table)
# tz_lsms_panel <- data.table(tz_lsms_panel)
# tz_lsms_panel.temp <- tz_lsms_panel[, .("yld_","N_kgha")]
# nls.LP <- nlsfit(tz_lsms_panel.temp, model = 3)
# nls.LP$Model
# lp_model=nls.LP$Parameters
# lp_model
# summary(lp_model)

# QUADRATIC

baseline_quad=lm(yld_~N_kgha+I(N_kgha^2)+P_kgha+I(P_kgha^2)+plotha+ncrops+hhmem+femhead+headeduc+arain_tot+region+year,data=tz_lsms_panel)

summary(baseline_quad)

Call:
lm(formula = yld_ ~ N_kgha + I(N_kgha^2) + P_kgha + I(P_kgha^2) + 
    plotha + ncrops + hhmem + femhead + headeduc + arain_tot + 
    region + year, data = tz_lsms_panel)

Residuals:
    Min      1Q  Median      3Q     Max 
-2389.1  -439.4  -179.0   203.8  5406.2 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept)  7.325e+02  5.666e+01  12.928  < 2e-16 ***
N_kgha       4.423e+00  1.306e+00   3.385 0.000713 ***
I(N_kgha^2)  4.949e-02  1.470e-02   3.367 0.000763 ***
P_kgha       1.094e+01  1.373e+00   7.969 1.78e-15 ***
I(P_kgha^2) -4.156e-02  9.479e-03  -4.384 1.18e-05 ***
plotha      -1.353e+02  6.978e+00 -19.387  < 2e-16 ***
ncrops      -5.741e+01  9.077e+00  -6.325 2.65e-10 ***
hhmem        1.492e+01  2.677e+00   5.573 2.57e-08 ***
femhead     -8.131e+01  1.879e+01  -4.327 1.53e-05 ***
headeduc     5.550e+01  1.268e+01   4.378 1.21e-05 ***
arain_tot   -9.895e-03  2.349e-02  -0.421 0.673564    
region2      3.357e+02  5.905e+01   5.686 1.34e-08 ***
region3      2.043e+02  5.915e+01   3.454 0.000555 ***
region4      1.646e+02  5.133e+01   3.207 0.001347 ** 
region5      9.552e+01  5.303e+01   1.801 0.071696 .  
region6     -2.375e+02  8.451e+01  -2.811 0.004953 ** 
region7      7.094e+01  1.027e+02   0.691 0.489745    
region8     -1.020e+02  5.455e+01  -1.870 0.061488 .  
region9     -1.643e+02  4.867e+01  -3.375 0.000740 ***
region10     7.777e+01  5.105e+01   1.523 0.127720    
region11     2.355e+02  4.886e+01   4.820 1.46e-06 ***
region12     3.320e+02  4.732e+01   7.017 2.43e-12 ***
region13     1.442e+02  6.141e+01   2.349 0.018861 *  
region14     6.149e+00  4.788e+01   0.128 0.897820    
region15     4.597e+02  5.578e+01   8.241  < 2e-16 ***
region16    -3.761e+01  5.639e+01  -0.667 0.504791    
region17    -2.864e+01  5.160e+01  -0.555 0.578870    
region18    -1.489e+02  6.037e+01  -2.466 0.013672 *  
region19    -1.047e+02  5.689e+01  -1.841 0.065675 .  
region20    -2.094e+01  7.057e+01  -0.297 0.766618    
region21     4.676e+02  6.354e+01   7.358 2.02e-13 ***
region22     2.653e+01  8.873e+01   0.299 0.764949    
region23     4.824e+02  8.967e+01   5.380 7.65e-08 ***
region24     9.939e+01  6.445e+01   1.542 0.123071    
region25     1.260e+02  8.639e+01   1.458 0.144860    
region26     3.143e+02  1.711e+02   1.837 0.066268 .  
region51    -9.447e+01  2.204e+02  -0.429 0.668140    
region52    -1.776e+02  3.091e+02  -0.574 0.565656    
region53     9.799e+02  5.320e+02   1.842 0.065544 .  
region54    -9.773e+01  1.730e+02  -0.565 0.572163    
region55    -4.847e+02  2.865e+02  -1.692 0.090688 .  
year2010     5.492e+01  2.600e+01   2.112 0.034681 *  
year2012     2.679e+01  2.512e+01   1.067 0.286225    
year2014     2.118e+02  2.794e+01   7.583 3.70e-14 ***
year2020     1.729e+02  2.988e+01   5.785 7.50e-09 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 750.1 on 9316 degrees of freedom
  (65 observations deleted due to missingness)
Multiple R-squared:  0.1961,    Adjusted R-squared:  0.1923 
F-statistic: 51.63 on 44 and 9316 DF,  p-value: < 2.2e-16

library(modelsummary)

modelplot(baseline_quad)

# Lm List by year
baseline_quad_lmList <- lmList(yld_~N_kgha+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot|year,tz_lsms_panel)

coef(baseline_quad_lmList )

     (Intercept)    N_kgha I(N_kgha^2)    P_kgha I(P_kgha^2)     ncrops
2008    945.9293  8.669655 0.005733987 30.893305 -0.18122928 -138.24253
2010    914.1726  2.701333 0.062520511 13.447263 -0.02296349 -136.98338
2012    775.0622 10.481262 0.010145979  5.574382 -0.03222565  -83.39304
2014   1003.9905  6.881725 0.076143989 10.590570 -0.02387429 -136.21425
2020   1101.4899  6.513740 0.044234354 13.073281 -0.05436070 -107.21972
         hhmem   femhead headeduc   arain_tot
2008  6.617584 -44.55724 51.45516 -0.05499994
2010  6.226192 -33.31606 30.40090  0.04035023
2012 -3.489106 -24.41176 44.82791  0.07694600
2014  7.668938 -70.56392 83.21657  0.02836584
2020  2.605807 -82.02956 45.70478 -0.08140485

(ci <- confint(baseline_quad_lmList ))

An object of class "lmList4.confint"
, , (Intercept)

        2.5 %    97.5 %
2008 766.6400 1125.2186
2010 747.1990 1081.1463
2012 649.5676  900.5568
2014 847.5802 1160.4008
2020 941.4019 1261.5779

, , N_kgha

          2.5 %    97.5 %
2008  3.3473457 13.991964
2010 -2.9198997  8.322565
2012  5.5844073 15.378116
2014  0.2449181 13.518532
2020  0.3340659 12.693413

, , I(N_kgha^2)

            2.5 %     97.5 %
2008 -0.053134742 0.06460272
2010 -0.007538666 0.13257969
2012 -0.049837871 0.07012983
2014  0.002136701 0.15015128
2020 -0.025571957 0.11404067

, , P_kgha

          2.5 %   97.5 %
2008 21.0406311 40.74598
2010  6.2302947 20.66423
2012  0.7481391 10.40063
2014  2.5820769 18.59906
2020  5.3655723 20.78099

, , I(P_kgha^2)

           2.5 %       97.5 %
2008 -0.28275513 -0.079703416
2010 -0.06821233  0.022285346
2012 -0.05863059 -0.005820717
2014 -0.09455065  0.046802074
2020 -0.13372466  0.025003254

, , ncrops

         2.5 %    97.5 %
2008 -177.4989 -98.98618
2010 -179.7703 -94.19644
2012 -116.8634 -49.92267
2014 -175.4900 -96.93850
2020 -149.4259 -65.01351

, , hhmem

          2.5 %    97.5 %
2008  -6.660103 19.895271
2010  -5.772839 18.225223
2012 -12.566201  5.587988
2014  -4.900482 20.238359
2020  -8.395775 13.607388

, , femhead

          2.5 %    97.5 %
2008 -133.19076 44.076285
2010 -119.63799 53.005874
2012  -97.47164 48.648122
2014 -162.40548 21.277648
2020 -168.99237  4.933259

, , headeduc

          2.5 %    97.5 %
2008 -16.941986 119.85231
2010 -35.134573  95.93637
2012  -2.467796  92.12363
2014  25.027989 141.40515
2020  -9.505510 100.91507

, , arain_tot

           2.5 %       97.5 %
2008 -0.19385912  0.083859233
2010 -0.09062053  0.171320984
2012 -0.01683419  0.170726189
2014 -0.06992302  0.126654699
2020 -0.15843944 -0.004370266

plot(ci,cex=2, cex.lab=3, xlab="Maize yield (kg/ha) response", ylab="Year")

baseline_quad_lmList_est <- coef(baseline_quad_lmList)
baseline_quad_lmList_est <-t(as.data.frame(baseline_quad_lmList_est))
order_tab <-rep(1,10)
order_tab <- as.data.frame(order_tab)
baseline_quad_lmList_est_dt=cbind(baseline_quad_lmList_est,order_tab)


baseline_quad_lmList_ci <- confint(baseline_quad_lmList)
baseline_quad_lmList_ci_dt <-t(as.data.frame(baseline_quad_lmList_ci))
order_tab <- rep(2:3,10)
order_tab <- as.data.frame(order_tab)

baseline_quad_lmList_ci_dt=cbind(baseline_quad_lmList_ci_dt,order_tab)

baseline_quad_lmList_est_ci_dt=bind_rows(baseline_quad_lmList_est_dt,baseline_quad_lmList_ci_dt)

write.csv(baseline_quad_lmList_est_ci_dt,"tables/baseline_quad_lmList_est_ci_dt.csv")

## Visreg
library(visreg)

baseline_quad_2008 <- lm(yld_~N_kgha+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2008)

baseline_quad_2010 <- lm(yld_~N_kgha+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2010)

baseline_quad_2012 <- lm(yld_~N_kgha+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2012)

baseline_quad_2014 <- lm(yld_~N_kgha+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2014)

baseline_quad_2020 <- lm(yld_~N_kgha+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot,data=tz_lsms_panel_2020)

baseline_quad_2008_v <-visreg(baseline_quad_2008, "N_kgha", plot=FALSE)
baseline_quad_2010_v <-visreg(baseline_quad_2010, "N_kgha", plot=FALSE)
baseline_quad_2012_v <-visreg(baseline_quad_2012, "N_kgha", plot=FALSE)
baseline_quad_2014_v <-visreg(baseline_quad_2014, "N_kgha", plot=FALSE)
baseline_quad_2020_v <-visreg(baseline_quad_2020, "N_kgha", plot=FALSE)


baseline_quad_all_plot <- visregList(baseline_quad_2008_v,baseline_quad_2010_v,baseline_quad_2012_v,baseline_quad_2014_v,baseline_quad_2020_v, collapse=TRUE,
                  labels=c("2008","2010","2012","2014","2020"))
op <- par(mfrow=c(1,5))
par(op)

plot(baseline_quad_all_plot,ylab="Maize yield (kg per ha)",xlab="Applied nitrogen (kg per ha)", ylim=c(0,3000), main="Quadratic",partial=FALSE,rug=FALSE)

## with interactionswith rainfall
# Lm List by year
baseline_quad_lmList_inter <- lmList(yld_~N_kgha*arain_tot+I(N_kgha^2)*arain_tot+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc|year,tz_lsms_panel)

coef(baseline_quad_lmList_inter )

     (Intercept)     N_kgha   arain_tot I(N_kgha^2)    P_kgha I(P_kgha^2)
2008   1042.1596 -0.6456866 -0.14672379 -0.02729364 30.208893 -0.17461650
2010    922.1706 11.1723352  0.03089159 -0.13588013 12.931895 -0.01856589
2012    780.8833 14.3400949  0.06984809 -0.10951256  5.188228 -0.03105019
2014    991.2959 -1.2471849  0.04295506  0.25209616 10.142296 -0.02497476
2020   1089.1133  3.6589824 -0.07402839  0.12946940 12.966264 -0.05625349
         ncrops     hhmem   femhead headeduc N_kgha:arain_tot
2008 -139.52926  6.212785 -46.41849 59.66394      0.009636395
2010 -136.72555  6.519137 -34.49700 30.41650     -0.008428748
2012  -83.04251 -3.408271 -25.20143 42.76124     -0.003471359
2014 -136.58886  7.248988 -71.75784 80.75932      0.007491750
2020 -107.40424  2.654036 -81.80697 47.74786      0.002517218
     arain_tot:I(N_kgha^2)
2008          2.133942e-05
2010          1.976315e-04
2012          1.217391e-04
2014         -1.610832e-04
2020         -6.885562e-05

(ci <- confint(baseline_quad_lmList_inter))

An object of class "lmList4.confint"
, , (Intercept)

        2.5 %    97.5 %
2008 851.5772 1232.7420
2010 750.7456 1093.5956
2012 652.4601  909.3066
2014 831.1775 1151.4144
2020 924.4730 1253.7536

, , N_kgha

          2.5 %   97.5 %
2008 -20.212563 18.92119
2010 -15.414979 37.75965
2012  -5.226731 33.90692
2014 -21.227047 18.73268
2020 -16.692607 24.01057

, , arain_tot

           2.5 %      97.5 %
2008 -0.30004787 0.006600288
2010 -0.10817053 0.169953714
2012 -0.02756093 0.167257120
2014 -0.06032937 0.146239493
2020 -0.15537746 0.007320686

, , I(N_kgha^2)

           2.5 %    97.5 %
2008 -0.23746563 0.1828784
2010 -0.48434158 0.2125813
2012 -0.35067693 0.1316518
2014  0.02308014 0.4811122
2020 -0.13184247 0.3907813

, , P_kgha

          2.5 %   97.5 %
2008 20.3594408 40.05834
2010  5.6787836 20.18501
2012  0.2769588 10.09950
2014  2.1157736 18.16882
2020  5.2370165 20.69551

, , I(P_kgha^2)

           2.5 %      97.5 %
2008 -0.27601859 -0.07321441
2010 -0.06410419  0.02697241
2012 -0.05763608 -0.00446430
2014 -0.09576193  0.04581242
2020 -0.13574587  0.02323890

, , ncrops

         2.5 %     97.5 %
2008 -178.6565 -100.40203
2010 -179.5089  -93.94219
2012 -116.5103  -49.57475
2014 -175.8154  -97.36228
2020 -149.6249  -65.18356

, , hhmem

          2.5 %    97.5 %
2008  -7.030027 19.455597
2010  -5.549711 18.587984
2012 -12.486686  5.670144
2014  -5.308742 19.806718
2020  -8.349745 13.657816

, , femhead

          2.5 %    97.5 %
2008 -134.77203 41.935053
2010 -120.81385 51.819853
2012  -98.30105 47.898185
2014 -163.60194 20.086269
2020 -168.80193  5.187982

, , headeduc

          2.5 %    97.5 %
2008  -8.722556 128.05044
2010 -35.106251  95.93926
2012  -4.625432  90.14791
2014  22.538110 138.98054
2020  -7.572587 103.06831

, , N_kgha:arain_tot

           2.5 %     97.5 %
2008 -0.00830031 0.02757310
2010 -0.03417147 0.01731397
2012 -0.02457973 0.01763701
2014 -0.00956929 0.02455279
2020 -0.01193862 0.01697305

, , arain_tot:I(N_kgha^2)

             2.5 %       97.5 %
2008 -0.0001671711 2.098499e-04
2010 -0.0001420191 5.372822e-04
2012 -0.0001297723 3.732505e-04
2014 -0.0003571883 3.502187e-05
2020 -0.0002619389 1.242277e-04

plot(ci,cex=2, cex.lab=3, xlab="Maize yield (kg/ha) response", ylab="Year")

baseline_quad_lmList_inter_est <- coef(baseline_quad_lmList_inter)
baseline_quad_lmList_inter_est <-t(as.data.frame(baseline_quad_lmList_inter_est))
order_tab <-rep(1,12)
order_tab <- as.data.frame(order_tab)
baseline_quad_lmList_inter_est_dt=cbind(baseline_quad_lmList_inter_est,order_tab)


baseline_quad_lmList_inter_ci <- confint(baseline_quad_lmList_inter)
baseline_quad_lmList_inter_ci_dt <-t(as.data.frame(baseline_quad_lmList_inter_ci))
order_tab <- rep(2:3,12)
order_tab <- as.data.frame(order_tab)

baseline_quad_lmList_inter_ci_dt=cbind(baseline_quad_lmList_inter_ci_dt,order_tab)

baseline_quad_lmList_inter_est_ci_dt=bind_rows(baseline_quad_lmList_inter_est_dt,baseline_quad_lmList_inter_ci_dt)

write.csv(baseline_quad_lmList_inter_est_ci_dt,"tables/baseline_quad_lmList_inter_est_ci_dt.csv")


library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('baseline_quad_lmList_inter_est_ci_dt', 'baseline_quad_lmList_inter_est_ci_dt.csv')"
        ),
        reactable(
            baseline_quad_lmList_inter_est_ci_dt,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "baseline_quad_lmList_inter_est_ci_dt"
        )
    )
)

## Visreg
library(visreg)

baseline_quad_inter_2008 <- lm(yld_~N_kgha*arain_tot+I(N_kgha^2)*arain_tot+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc,data=tz_lsms_panel_2008)

baseline_quad_inter_2010 <- lm(yld_~N_kgha*arain_tot+I(N_kgha^2)*arain_tot+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc,data=tz_lsms_panel_2010)

baseline_quad_inter_2012 <- lm(yld_~N_kgha*arain_tot+I(N_kgha^2)*arain_tot+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc,data=tz_lsms_panel_2012)

baseline_quad_inter_2014 <- lm(yld_~N_kgha*arain_tot+I(N_kgha^2)*arain_tot+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc,data=tz_lsms_panel_2014)

baseline_quad_inter_2020 <- lm(yld_~N_kgha*arain_tot+I(N_kgha^2)*arain_tot+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc,data=tz_lsms_panel_2020)

baseline_quad_inter_2008_v <- visreg2d(baseline_quad_inter_2008, "N_kgha", "arain_tot",ylab="Rainfall (mm)",xlab="Nitrogen (kg per ha)", main="2008")

baseline_quad_inter_2008_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  606.3899  620.1332  633.8765  647.6198  661.3631  675.1064  688.8497
 [8]  702.5930  716.3363  730.0796  743.8229  757.5662  771.3095  785.0528
[15]  798.7961  812.5394  826.2827  840.0260  853.7693  867.5126  881.2559
[22]  894.9992  908.7425  922.4858  936.2291  949.9724  963.7157  977.4590
[29]  991.2023 1004.9456 1018.6889 1032.4322 1046.1755 1059.9188 1073.6621
[36] 1087.4054 1101.1487 1114.8920 1128.6353 1142.3786 1156.1219 1169.8652
[43] 1183.6085 1197.3518 1211.0951 1224.8384 1238.5817 1252.3250 1266.0683
[50] 1279.8116 1293.5549 1307.2982 1321.0415 1334.7848 1348.5281 1362.2714
[57] 1376.0147 1389.7580 1403.5013 1417.2446 1430.9879 1444.7312 1458.4745
[64] 1472.2178 1485.9611 1499.7044 1513.4477 1527.1910 1540.9343 1554.6776
[71] 1568.4209 1582.1642 1595.9075 1609.6508 1623.3941 1637.1374 1650.8807
[78] 1664.6240 1678.3673 1692.1106 1705.8539 1719.5972 1733.3405 1747.0838
[85] 1760.8271 1774.5704 1788.3137 1802.0570 1815.8003 1829.5436 1843.2869
[92] 1857.0302 1870.7735 1884.5168 1898.2601 1912.0034 1925.7467 1939.4900
[99] 1953.2333

$z
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  705.1931  703.1767  701.1602  699.1437  697.1273  695.1108  693.0943
  [2,]  711.2026  709.3401  707.4776  705.6152  703.7527  701.8902  700.0278
  [3,]  717.1734  715.4657  713.7580  712.0504  710.3427  708.6350  706.9274
  [4,]  723.1056  721.5535  720.0014  718.4493  716.8972  715.3451  713.7930
  [5,]  728.9992  727.6034  726.2077  724.8120  723.4163  722.0206  720.6249
  [6,]  734.8541  733.6155  732.3770  731.1384  729.8999  728.6613  727.4228
  [7,]  740.6704  739.5898  738.5092  737.4286  736.3480  735.2674  734.1868
  [8,]  746.4481  745.5263  744.6044  743.6825  742.7607  741.8388  740.9169
  [9,]  752.1872  751.4249  750.6626  749.9002  749.1379  748.3755  747.6132
 [10,]  757.8877  757.2857  756.6837  756.0816  755.4796  754.8776  754.2756
 [11,]  763.5496  763.1086  762.6677  762.2268  761.7859  761.3450  760.9041
 [12,]  769.1728  768.8938  768.6147  768.3357  768.0567  767.7777  767.4987
 [13,]  774.7574  774.6411  774.5247  774.4084  774.2921  774.1757  774.0594
 [14,]  780.3034  780.3505  780.3977  780.4448  780.4919  780.5391  780.5862
 [15,]  785.8108  786.0222  786.2336  786.4450  786.6564  786.8678  787.0792
 [16,]  791.2795  791.6560  792.0324  792.4089  792.7853  793.1618  793.5382
 [17,]  796.7096  797.2519  797.7942  798.3365  798.8788  799.4211  799.9634
 [18,]  802.1011  802.8101  803.5190  804.2279  804.9368  805.6458  806.3547
 [19,]  807.4540  808.3304  809.2067  810.0830  810.9594  811.8357  812.7121
 [20,]  812.7683  813.8128  814.8574  815.9019  816.9465  817.9910  819.0356
 [21,]  818.0439  819.2575  820.4710  821.6846  822.8981  824.1117  825.3252
 [22,]  823.2810  824.6643  826.0476  827.4310  828.8143  830.1976  831.5810
 [23,]  828.4794  830.0333  831.5872  833.1411  834.6950  836.2489  837.8028
 [24,]  833.6391  835.3644  837.0897  838.8150  840.5402  842.2655  843.9908
 [25,]  838.7603  840.6577  842.5552  844.4526  846.3500  848.2474  850.1449
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 [57,]  982.2458  990.0688  997.8918 1005.7148 1013.5378 1021.3608 1029.1838
 [58,]  986.0925  994.1137 1002.1349 1010.1560 1018.1772 1026.1984 1034.2196
 [59,]  989.9006  998.1207 1006.3409 1014.5611 1022.7812 1031.0014 1039.2216
 [60,]  993.6700 1002.0899 1010.5099 1018.9298 1027.3498 1035.7697 1044.1896
 [61,]  997.4008 1006.0213 1014.6418 1023.2623 1031.8828 1040.5033 1049.1238
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            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
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 [27,]  864.5955  866.8396  869.0837  871.3278  873.5719  875.8160  878.0601
 [28,]  870.8224  873.2411  875.6597  878.0783  880.4969  882.9156  885.3342
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 [30,]  883.1770  885.9471  888.7171  891.4871  894.2572  897.0272  899.7972
 [31,]  889.3047  892.2516  895.1985  898.1455  901.0924  904.0393  906.9862
 [32,]  895.3992  898.5238  901.6484  904.7730  907.8976  911.0222  914.1468
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 [49,]  993.9429 1000.2088 1006.4746 1012.7405 1019.0063 1025.2722 1031.5380
 [50,]  999.4417 1005.8995 1012.3572 1018.8149 1025.2727 1031.7304 1038.1881
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 [62,] 1062.8460 1071.6678 1080.4897 1089.3115 1098.1334 1106.9552 1115.7771
 [63,] 1067.9145 1076.9385 1085.9625 1094.9865 1104.0105 1113.0345 1122.0585
 [64,] 1072.9500 1082.1769 1091.4038 1100.6307 1109.8577 1119.0846 1128.3115
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 [69,] 1097.6308 1107.8842 1118.1376 1128.3910 1138.6444 1148.8978 1159.1512
 [70,] 1102.4677 1112.9288 1123.3898 1133.8509 1144.3120 1154.7730 1165.2341
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 [73,] 1116.7798 1127.8685 1138.9573 1150.0461 1161.1349 1172.2237 1183.3125
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 [77,] 1135.3991 1147.3359 1159.2727 1171.2095 1183.1463 1195.0831 1207.0199
 [78,] 1139.9712 1152.1220 1164.2728 1176.4236 1188.5743 1200.7251 1212.8759
 [79,] 1144.5102 1156.8758 1169.2413 1181.6069 1193.9724 1206.3379 1218.7035
 [80,] 1149.0162 1161.5972 1174.1783 1186.7594 1199.3405 1211.9216 1224.5027
 [81,] 1153.4890 1166.2864 1179.0838 1191.8813 1204.6787 1217.4761 1230.2736
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           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
  [1,]  676.9626  674.9461  672.9296  670.9132  668.8967  666.8802  664.8638
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           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
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           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
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 [64,] 1331.3037 1340.5306 1349.7576 1358.9845 1368.2114 1377.4383 1386.6652
 [65,] 1342.0102 1351.4408 1360.8714 1370.3021 1379.7327 1389.1634 1398.5940
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 [71,] 1406.0179 1416.6874 1427.3569 1438.0264 1448.6959 1459.3654 1470.0349
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           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
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 [28,]  955.4743  957.8929  960.3115  962.7301  965.1488  967.5674  969.9860
 [29,]  967.8040  970.3979  972.9918  975.5858  978.1797  980.7737  983.3676
 [30,]  980.1282  982.8982  985.6683  988.4383  991.2083  993.9784  996.7484
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           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
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 [16,]  809.7257  810.1021  810.4786  810.8550  811.2315  811.6080  811.9844
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 [20,]  863.9513  864.9958  866.0404  867.0849  868.1295  869.1740  870.2186
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 [28,]  972.4046  974.8233  977.2419  979.6605  982.0791  984.4978  986.9164
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 [30,]  999.5184 1002.2885 1005.0585 1007.8285 1010.5986 1013.3686 1016.1386
 [31,] 1013.0754 1016.0223 1018.9692 1021.9162 1024.8631 1027.8100 1030.7569
 [32,] 1026.6324 1029.7570 1032.8816 1036.0062 1039.1308 1042.2554 1045.3800
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 [34,] 1053.7466 1057.2289 1060.7112 1064.1935 1067.6759 1071.1582 1074.6405
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 [36,] 1080.8609 1084.7041 1088.5473 1092.3905 1096.2337 1100.0769 1103.9201
 [37,] 1094.4181 1098.4430 1102.4678 1106.4926 1110.5174 1114.5422 1118.5671
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 [41,] 1148.6475 1153.4067 1158.1659 1162.9251 1167.6843 1172.4436 1177.2028
 [42,] 1162.2050 1167.1498 1172.0945 1177.0393 1181.9841 1186.9289 1191.8736
 [43,] 1175.7625 1180.8936 1186.0248 1191.1559 1196.2870 1201.4182 1206.5493
 [44,] 1189.3200 1194.6383 1199.9566 1205.2749 1210.5932 1215.9114 1221.2297
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 [54,] 1324.8981 1332.1312 1339.3643 1346.5975 1353.8306 1361.0638 1368.2969
 [55,] 1338.4561 1345.8851 1353.3140 1360.7430 1368.1720 1375.6010 1383.0299
 [56,] 1352.0142 1359.6398 1367.2654 1374.8910 1382.5165 1390.1421 1397.7677
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 [59,] 1392.6888 1400.9089 1409.1291 1417.3493 1425.5694 1433.7896 1442.0098
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 [61,] 1419.8053 1428.4258 1437.0463 1445.6668 1454.2874 1462.9079 1471.5284
 [62,] 1433.3637 1442.1856 1451.0074 1459.8293 1468.6511 1477.4730 1486.2948
 [63,] 1446.9221 1455.9461 1464.9701 1473.9941 1483.0181 1492.0421 1501.0661
 [64,] 1460.4806 1469.7075 1478.9344 1488.1613 1497.3883 1506.6152 1515.8421
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 [68,] 1514.7149 1524.7614 1534.8079 1544.8544 1554.9010 1564.9475 1574.9940
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 [70,] 1541.8323 1552.2933 1562.7544 1573.2154 1583.6765 1594.1376 1604.5986
 [71,] 1555.3910 1566.0606 1576.7301 1587.3996 1598.0691 1608.7386 1619.4081
 [72,] 1568.9499 1579.8286 1590.7074 1601.5861 1612.4649 1623.3436 1634.2224
 [73,] 1582.5087 1593.5975 1604.6863 1615.7751 1626.8639 1637.9526 1649.0414
 [74,] 1596.0676 1607.3672 1618.6668 1629.9664 1641.2660 1652.5657 1663.8653
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 [77,] 1636.7446 1648.6814 1660.6182 1672.5550 1684.4918 1696.4286 1708.3654
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 [87,] 1772.3376 1786.4496 1800.5617 1814.6737 1828.7858 1842.8979 1857.0099
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 [89,] 1799.4567 1814.0133 1828.5699 1843.1264 1857.6830 1872.2396 1886.7962
 [90,] 1813.0163 1827.7963 1842.5764 1857.3564 1872.1364 1886.9165 1901.6965
 [91,] 1826.5760 1841.5803 1856.5845 1871.5888 1886.5931 1901.5973 1916.6016
 [92,] 1840.1357 1855.3650 1870.5943 1885.8236 1901.0529 1916.2822 1931.5115
 [93,] 1853.6955 1869.1506 1884.6057 1900.0608 1915.5159 1930.9710 1946.4261
 [94,] 1867.2553 1882.9370 1898.6187 1914.3004 1929.9821 1945.6638 1961.3455
 [95,] 1880.8151 1896.7242 1912.6333 1928.5424 1944.4515 1960.3606 1976.2697
 [96,] 1894.3751 1910.5123 1926.6496 1942.7869 1958.9241 1975.0614 1991.1987
 [97,] 1907.9350 1924.3012 1940.6675 1957.0337 1973.4000 1989.7662 2006.1325
 [98,] 1921.4950 1938.0910 1954.6870 1971.2830 1987.8790 2004.4750 2021.0710
 [99,] 1935.0550 1951.8816 1968.7081 1985.5347 2002.3612 2019.1878 2036.0143
           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
  [1,]  592.2709  590.2544  588.2379  586.2215  584.2050  582.1885  580.1721
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           [,71]     [,72]     [,73]     [,74]     [,75]     [,76]     [,77]
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  [3,]  597.6364  595.9287  594.2211  592.5134  590.8057  589.0981  587.3904
  [4,]  614.4594  612.9073  611.3552  609.8031  608.2510  606.6989  605.1469
  [5,]  631.2990  629.9033  628.5076  627.1118  625.7161  624.3204  622.9247
  [6,]  648.1552  646.9166  645.6781  644.4395  643.2010  641.9624  640.7239
  [7,]  665.0280  663.9474  662.8668  661.7862  660.7056  659.6250  658.5444
  [8,]  681.9175  680.9956  680.0737  679.1519  678.2300  677.3081  676.3863
  [9,]  698.8235  698.0612  697.2988  696.5365  695.7742  695.0118  694.2495
 [10,]  715.7462  715.1442  714.5422  713.9401  713.3381  712.7361  712.1341
 [11,]  732.6855  732.2446  731.8037  731.3627  730.9218  730.4809  730.0400
 [12,]  749.6414  749.3624  749.0834  748.8043  748.5253  748.2463  747.9673
 [13,]  766.6139  766.4976  766.3813  766.2649  766.1486  766.0323  765.9159
 [14,]  783.6031  783.6502  783.6973  783.7445  783.7916  783.8388  783.8859
 [15,]  800.6088  800.8202  801.0316  801.2430  801.4544  801.6658  801.8772
 [16,]  817.6312  818.0077  818.3841  818.7606  819.1370  819.5135  819.8899
 [17,]  834.6702  835.2125  835.7548  836.2971  836.8394  837.3817  837.9240
 [18,]  851.7258  852.4347  853.1436  853.8526  854.5615  855.2704  855.9793
 [19,]  868.7980  869.6744  870.5507  871.4270  872.3034  873.1797  874.0561
 [20,]  885.8869  886.9314  887.9760  889.0205  890.0651  891.1096  892.1542
 [21,]  902.9923  904.2059  905.4194  906.6330  907.8465  909.0601  910.2736
 [22,]  920.1144  921.4977  922.8811  924.2644  925.6477  927.0311  928.4144
 [23,]  937.2531  938.8070  940.3609  941.9148  943.4687  945.0226  946.5765
 [24,]  954.4084  956.1337  957.8589  959.5842  961.3095  963.0348  964.7600
 [25,]  971.5803  973.4777  975.3752  977.2726  979.1700  981.0674  982.9649
 [26,]  988.7688  990.8392  992.9096  994.9799  997.0503  999.1207 1001.1911
 [27,] 1005.9740 1008.2181 1010.4622 1012.7063 1014.9504 1017.1945 1019.4386
 [28,] 1023.1958 1025.6144 1028.0330 1030.4516 1032.8703 1035.2889 1037.7075
 [29,] 1040.4341 1043.0281 1045.6220 1048.2159 1050.8099 1053.4038 1055.9977
 [30,] 1057.6891 1060.4592 1063.2292 1065.9992 1068.7693 1071.5393 1074.3093
 [31,] 1074.9608 1077.9077 1080.8546 1083.8015 1086.7484 1089.6954 1092.6423
 [32,] 1092.2490 1095.3736 1098.4982 1101.6228 1104.7474 1107.8720 1110.9966
 [33,] 1109.5538 1112.8569 1116.1600 1119.4630 1122.7661 1126.0692 1129.3722
 [34,] 1126.8753 1130.3576 1133.8400 1137.3223 1140.8046 1144.2869 1147.7692
 [35,] 1144.2134 1147.8758 1151.5381 1155.2005 1158.8629 1162.5252 1166.1876
 [36,] 1161.5681 1165.4113 1169.2545 1173.0977 1176.9409 1180.7841 1184.6273
 [37,] 1178.9394 1182.9642 1186.9891 1191.0139 1195.0387 1199.0635 1203.0883
 [38,] 1196.3273 1200.5346 1204.7418 1208.9490 1213.1563 1217.3635 1221.5707
 [39,] 1213.7319 1218.1223 1222.5128 1226.9032 1231.2936 1235.6841 1240.0745
 [40,] 1231.1531 1235.7275 1240.3019 1244.8763 1249.4508 1254.0252 1258.5996
 [41,] 1248.5908 1253.3500 1258.1092 1262.8684 1267.6277 1272.3869 1277.1461
 [42,] 1266.0452 1270.9900 1275.9348 1280.8795 1285.8243 1290.7691 1295.7139
 [43,] 1283.5162 1288.6474 1293.7785 1298.9096 1304.0408 1309.1719 1314.3030
 [44,] 1301.0039 1306.3221 1311.6404 1316.9587 1322.2770 1327.5953 1332.9135
 [45,] 1318.5081 1324.0143 1329.5205 1335.0268 1340.5330 1346.0392 1351.5454
 [46,] 1336.0290 1341.7239 1347.4189 1353.1138 1358.8087 1364.5037 1370.1986
 [47,] 1353.5665 1359.4509 1365.3354 1371.2198 1377.1043 1382.9887 1388.8732
 [48,] 1371.1206 1377.1953 1383.2701 1389.3448 1395.4196 1401.4943 1407.5691
 [49,] 1388.6913 1394.9571 1401.2230 1407.4888 1413.7546 1420.0205 1426.2863
 [50,] 1406.2786 1412.7363 1419.1940 1425.6518 1432.1095 1438.5672 1445.0250
 [51,] 1423.8825 1430.5329 1437.1833 1443.8337 1450.4841 1457.1345 1463.7849
 [52,] 1441.5031 1448.3470 1455.1908 1462.0347 1468.8785 1475.7224 1482.5662
 [53,] 1459.1403 1466.1784 1473.2165 1480.2546 1487.2927 1494.3308 1501.3689
 [54,] 1476.7941 1484.0272 1491.2603 1498.4935 1505.7266 1512.9598 1520.1929
 [55,] 1494.4645 1501.8934 1509.3224 1516.7514 1524.1803 1531.6093 1539.0383
 [56,] 1512.1515 1519.7771 1527.4027 1535.0283 1542.6538 1550.2794 1557.9050
 [57,] 1529.8551 1537.6781 1545.5011 1553.3241 1561.1471 1568.9701 1576.7931
 [58,] 1547.5754 1555.5966 1563.6178 1571.6389 1579.6601 1587.6813 1595.7025
 [59,] 1565.3123 1573.5324 1581.7526 1589.9728 1598.1929 1606.4131 1614.6333
 [60,] 1583.0658 1591.4857 1599.9056 1608.3256 1616.7455 1625.1655 1633.5854
 [61,] 1600.8359 1609.4564 1618.0769 1626.6974 1635.3179 1643.9384 1652.5589
 [62,] 1618.6226 1627.4444 1636.2663 1645.0881 1653.9100 1662.7318 1671.5537
 [63,] 1636.4259 1645.4499 1654.4739 1663.4979 1672.5219 1681.5459 1690.5699
 [64,] 1654.2459 1663.4728 1672.6997 1681.9266 1691.1536 1700.3805 1709.6074
 [65,] 1672.0824 1681.5131 1690.9437 1700.3744 1709.8050 1719.2356 1728.6663
 [66,] 1689.9356 1699.5708 1709.2059 1718.8411 1728.4762 1738.1114 1747.7465
 [67,] 1707.8054 1717.6459 1727.4863 1737.3268 1747.1672 1757.0076 1766.8481
 [68,] 1725.6919 1735.7384 1745.7849 1755.8314 1765.8780 1775.9245 1785.9710
 [69,] 1743.5949 1753.8483 1764.1017 1774.3551 1784.6085 1794.8619 1805.1153
 [70,] 1761.5145 1771.9756 1782.4367 1792.8977 1803.3588 1813.8199 1824.2809
 [71,] 1779.4508 1790.1203 1800.7898 1811.4594 1822.1289 1832.7984 1843.4679
 [72,] 1797.4037 1808.2825 1819.1612 1830.0400 1840.9187 1851.7975 1862.6762
 [73,] 1815.3732 1826.4620 1837.5508 1848.6396 1859.7283 1870.8171 1881.9059
 [74,] 1833.3593 1844.6589 1855.9585 1867.2581 1878.5577 1889.8573 1901.1569
 [75,] 1851.3621 1862.8733 1874.3845 1885.8957 1897.4069 1908.9181 1920.4293
 [76,] 1869.3814 1881.1050 1892.8286 1904.5522 1916.2758 1927.9995 1939.7231
 [77,] 1887.4174 1899.3542 1911.2910 1923.2278 1935.1646 1947.1014 1959.0382
 [78,] 1905.4700 1917.6207 1929.7715 1941.9223 1954.0730 1966.2238 1978.3746
 [79,] 1923.5392 1935.9047 1948.2702 1960.6358 1973.0013 1985.3668 1997.7324
 [80,] 1941.6250 1954.2061 1966.7872 1979.3682 1991.9493 2004.5304 2017.1115
 [81,] 1959.7274 1972.5248 1985.3223 1998.1197 2010.9171 2023.7146 2036.5120
 [82,] 1977.8464 1990.8610 2003.8756 2016.8901 2029.9047 2042.9193 2055.9339
 [83,] 1995.9821 2009.2146 2022.4471 2035.6796 2048.9121 2062.1446 2075.3770
 [84,] 2014.1344 2027.5856 2041.0368 2054.4880 2067.9392 2081.3904 2094.8416
 [85,] 2032.3033 2045.9740 2059.6447 2073.3154 2086.9861 2100.6568 2114.3275
 [86,] 2050.4888 2064.3798 2078.2708 2092.1618 2106.0527 2119.9437 2133.8347
 [87,] 2068.6909 2082.8030 2096.9151 2111.0271 2125.1392 2139.2513 2153.3633
 [88,] 2086.9097 2101.2436 2115.5775 2129.9115 2144.2454 2158.5793 2172.9133
 [89,] 2105.1450 2119.7016 2134.2582 2148.8148 2163.3714 2177.9280 2192.4846
 [90,] 2123.3970 2138.1770 2152.9571 2167.7371 2182.5171 2197.2972 2212.0772
 [91,] 2141.6656 2156.6699 2171.6741 2186.6784 2201.6827 2216.6869 2231.6912
 [92,] 2159.9508 2175.1801 2190.4094 2205.6387 2220.8680 2236.0973 2251.3266
 [93,] 2178.2526 2193.7077 2209.1628 2224.6180 2240.0731 2255.5282 2270.9833
 [94,] 2196.5711 2212.2528 2227.9345 2243.6162 2259.2979 2274.9796 2290.6613
 [95,] 2214.9061 2230.8152 2246.7243 2262.6334 2278.5425 2294.4516 2310.3607
 [96,] 2233.2578 2249.3951 2265.5324 2281.6696 2297.8069 2313.9442 2330.0815
 [97,] 2251.6261 2267.9924 2284.3586 2300.7248 2317.0911 2333.4573 2349.8236
 [98,] 2270.0110 2286.6070 2303.2030 2319.7990 2336.3950 2352.9910 2369.5870
 [99,] 2288.4125 2305.2391 2322.0656 2338.8922 2355.7187 2372.5453 2389.3718
           [,78]     [,79]     [,80]     [,81]     [,82]     [,83]     [,84]
  [1,]  549.9250  547.9085  545.8921  543.8756  541.8591  539.8427  537.8262
  [2,]  567.7928  565.9303  564.0679  562.2054  560.3429  558.4805  556.6180
  [3,]  585.6827  583.9750  582.2674  580.5597  578.8520  577.1444  575.4367
  [4,]  603.5948  602.0427  600.4906  598.9385  597.3864  595.8343  594.2822
  [5,]  621.5290  620.1332  618.7375  617.3418  615.9461  614.5504  613.1547
  [6,]  639.4853  638.2467  637.0082  635.7696  634.5311  633.2925  632.0540
  [7,]  657.4638  656.3832  655.3026  654.2220  653.1414  652.0608  650.9801
  [8,]  675.4644  674.5425  673.6207  672.6988  671.7769  670.8551  669.9332
  [9,]  693.4872  692.7248  691.9625  691.2001  690.4378  689.6755  688.9131
 [10,]  711.5321  710.9300  710.3280  709.7260  709.1240  708.5219  707.9199
 [11,]  729.5991  729.1582  728.7173  728.2763  727.8354  727.3945  726.9536
 [12,]  747.6883  747.4092  747.1302  746.8512  746.5722  746.2932  746.0141
 [13,]  765.7996  765.6832  765.5669  765.4506  765.3342  765.2179  765.1016
 [14,]  783.9330  783.9802  784.0273  784.0745  784.1216  784.1687  784.2159
 [15,]  802.0886  802.3000  802.5114  802.7228  802.9342  803.1456  803.3570
 [16,]  820.2664  820.6428  821.0193  821.3957  821.7722  822.1486  822.5251
 [17,]  838.4662  839.0085  839.5508  840.0931  840.6354  841.1777  841.7200
 [18,]  856.6883  857.3972  858.1061  858.8150  859.5240  860.2329  860.9418
 [19,]  874.9324  875.8088  876.6851  877.5614  878.4378  879.3141  880.1905
 [20,]  893.1987  894.2433  895.2878  896.3324  897.3769  898.4215  899.4660
 [21,]  911.4872  912.7007  913.9142  915.1278  916.3413  917.5549  918.7684
 [22,]  929.7977  931.1811  932.5644  933.9477  935.3311  936.7144  938.0977
 [23,]  948.1304  949.6844  951.2383  952.7922  954.3461  955.9000  957.4539
 [24,]  966.4853  968.2106  969.9359  971.6611  973.3864  975.1117  976.8369
 [25,]  984.8623  986.7597  988.6572  990.5546  992.4520  994.3494  996.2469
 [26,] 1003.2614 1005.3318 1007.4022 1009.4725 1011.5429 1013.6133 1015.6837
 [27,] 1021.6827 1023.9268 1026.1709 1028.4150 1030.6591 1032.9032 1035.1473
 [28,] 1040.1261 1042.5447 1044.9634 1047.3820 1049.8006 1052.2192 1054.6379
 [29,] 1058.5917 1061.1856 1063.7795 1066.3735 1068.9674 1071.5614 1074.1553
 [30,] 1077.0794 1079.8494 1082.6194 1085.3895 1088.1595 1090.9295 1093.6996
 [31,] 1095.5892 1098.5361 1101.4831 1104.4300 1107.3769 1110.3238 1113.2707
 [32,] 1114.1212 1117.2458 1120.3704 1123.4950 1126.6196 1129.7442 1132.8688
 [33,] 1132.6753 1135.9784 1139.2814 1142.5845 1145.8876 1149.1906 1152.4937
 [34,] 1151.2516 1154.7339 1158.2162 1161.6985 1165.1808 1168.6632 1172.1455
 [35,] 1169.8500 1173.5123 1177.1747 1180.8371 1184.4994 1188.1618 1191.8241
 [36,] 1188.4705 1192.3137 1196.1569 1200.0001 1203.8433 1207.6865 1211.5297
 [37,] 1207.1132 1211.1380 1215.1628 1219.1876 1223.2125 1227.2373 1231.2621
 [38,] 1225.7780 1229.9852 1234.1925 1238.3997 1242.6069 1246.8142 1251.0214
 [39,] 1244.4649 1248.8554 1253.2458 1257.6362 1262.0267 1266.4171 1270.8075
 [40,] 1263.1740 1267.7485 1272.3229 1276.8973 1281.4717 1286.0462 1290.6206
 [41,] 1281.9053 1286.6645 1291.4237 1296.1829 1300.9421 1305.7013 1310.4605
 [42,] 1300.6586 1305.6034 1310.5482 1315.4930 1320.4377 1325.3825 1330.3273
 [43,] 1319.4342 1324.5653 1329.6964 1334.8276 1339.9587 1345.0898 1350.2209
 [44,] 1338.2318 1343.5501 1348.8684 1354.1866 1359.5049 1364.8232 1370.1415
 [45,] 1357.0516 1362.5578 1368.0640 1373.5702 1379.0765 1384.5827 1390.0889
 [46,] 1375.8935 1381.5885 1387.2834 1392.9784 1398.6733 1404.3682 1410.0632
 [47,] 1394.7576 1400.6421 1406.5265 1412.4110 1418.2954 1424.1799 1430.0643
 [48,] 1413.6438 1419.7186 1425.7933 1431.8681 1437.9429 1444.0176 1450.0924
 [49,] 1432.5522 1438.8180 1445.0839 1451.3497 1457.6156 1463.8814 1470.1473
 [50,] 1451.4827 1457.9404 1464.3981 1470.8559 1477.3136 1483.7713 1490.2290
 [51,] 1470.4353 1477.0857 1483.7361 1490.3865 1497.0369 1503.6873 1510.3377
 [52,] 1489.4101 1496.2540 1503.0978 1509.9417 1516.7855 1523.6294 1530.4732
 [53,] 1508.4070 1515.4451 1522.4832 1529.5213 1536.5594 1543.5975 1550.6356
 [54,] 1527.4261 1534.6592 1541.8923 1549.1255 1556.3586 1563.5918 1570.8249
 [55,] 1546.4673 1553.8962 1561.3252 1568.7542 1576.1831 1583.6121 1591.0411
 [56,] 1565.5306 1573.1562 1580.7818 1588.4073 1596.0329 1603.6585 1611.2841
 [57,] 1584.6161 1592.4391 1600.2620 1608.0850 1615.9080 1623.7310 1631.5540
 [58,] 1603.7237 1611.7449 1619.7661 1627.7872 1635.8084 1643.8296 1651.8508
 [59,] 1622.8534 1631.0736 1639.2938 1647.5139 1655.7341 1663.9543 1672.1744
 [60,] 1642.0053 1650.4253 1658.8452 1667.2651 1675.6851 1684.1050 1692.5250
 [61,] 1661.1794 1669.7999 1678.4204 1687.0409 1695.6614 1704.2819 1712.9024
 [62,] 1680.3755 1689.1974 1698.0192 1706.8411 1715.6629 1724.4848 1733.3066
 [63,] 1699.5939 1708.6178 1717.6418 1726.6658 1735.6898 1744.7138 1753.7378
 [64,] 1718.8343 1728.0612 1737.2881 1746.5151 1755.7420 1764.9689 1774.1958
 [65,] 1738.0969 1747.5275 1756.9582 1766.3888 1775.8194 1785.2501 1794.6807
 [66,] 1757.3816 1767.0168 1776.6519 1786.2871 1795.9222 1805.5574 1815.1925
 [67,] 1776.6885 1786.5289 1796.3694 1806.2098 1816.0503 1825.8907 1835.7311
 [68,] 1796.0175 1806.0640 1816.1106 1826.1571 1836.2036 1846.2501 1856.2967
 [69,] 1815.3687 1825.6221 1835.8755 1846.1289 1856.3823 1866.6357 1876.8891
 [70,] 1834.7420 1845.2030 1855.6641 1866.1252 1876.5862 1887.0473 1897.5083
 [71,] 1854.1374 1864.8069 1875.4764 1886.1459 1896.8155 1907.4850 1918.1545
 [72,] 1873.5550 1884.4337 1895.3125 1906.1912 1917.0700 1927.9488 1938.8275
 [73,] 1892.9947 1904.0835 1915.1723 1926.2610 1937.3498 1948.4386 1959.5274
 [74,] 1912.4565 1923.7562 1935.0558 1946.3554 1957.6550 1968.9546 1980.2542
 [75,] 1931.9405 1943.4518 1954.9630 1966.4742 1977.9854 1989.4966 2001.0078
 [76,] 1951.4467 1963.1703 1974.8939 1986.6175 1998.3411 2010.0647 2021.7883
 [77,] 1970.9750 1982.9117 1994.8485 2006.7853 2018.7221 2030.6589 2042.5957
 [78,] 1990.5254 2002.6761 2014.8269 2026.9777 2039.1285 2051.2792 2063.4300
 [79,] 2010.0979 2022.4635 2034.8290 2047.1945 2059.5601 2071.9256 2084.2911
 [80,] 2029.6926 2042.2737 2054.8548 2067.4359 2080.0170 2092.5981 2105.1792
 [81,] 2049.3094 2062.1069 2074.9043 2087.7018 2100.4992 2113.2966 2126.0941
 [82,] 2068.9484 2081.9630 2094.9776 2107.9921 2121.0067 2134.0213 2147.0358
 [83,] 2088.6095 2101.8420 2115.0745 2128.3070 2141.5395 2154.7720 2168.0045
 [84,] 2108.2928 2121.7440 2135.1952 2148.6464 2162.0976 2175.5488 2189.0000
 [85,] 2127.9982 2141.6689 2155.3396 2169.0103 2182.6810 2196.3517 2210.0224
 [86,] 2147.7257 2161.6167 2175.5077 2189.3987 2203.2897 2217.1807 2231.0716
 [87,] 2167.4754 2181.5875 2195.6995 2209.8116 2223.9236 2238.0357 2252.1478
 [88,] 2187.2472 2201.5811 2215.9151 2230.2490 2244.5829 2258.9169 2273.2508
 [89,] 2207.0412 2221.5977 2236.1543 2250.7109 2265.2675 2279.8241 2294.3807
 [90,] 2226.8572 2241.6373 2256.4173 2271.1973 2285.9774 2300.7574 2315.5374
 [91,] 2246.6955 2261.6997 2276.7040 2291.7083 2306.7125 2321.7168 2336.7211
 [92,] 2266.5559 2281.7851 2297.0144 2312.2437 2327.4730 2342.7023 2357.9316
 [93,] 2286.4384 2301.8935 2317.3486 2332.8037 2348.2588 2363.7139 2379.1690
 [94,] 2306.3430 2322.0247 2337.7064 2353.3881 2369.0698 2384.7515 2400.4332
 [95,] 2326.2698 2342.1789 2358.0880 2373.9971 2389.9062 2405.8153 2421.7244
 [96,] 2346.2187 2362.3560 2378.4933 2394.6306 2410.7678 2426.9051 2443.0424
 [97,] 2366.1898 2382.5561 2398.9223 2415.2885 2431.6548 2448.0210 2464.3873
 [98,] 2386.1830 2402.7790 2419.3750 2435.9710 2452.5670 2469.1630 2485.7590
 [99,] 2406.1984 2423.0249 2439.8515 2456.6780 2473.5046 2490.3311 2507.1577
           [,85]     [,86]     [,87]     [,88]     [,89]     [,90]     [,91]
  [1,]  535.8097  533.7933  531.7768  529.7603  527.7439  525.7274  523.7109
  [2,]  554.7555  552.8931  551.0306  549.1681  547.3057  545.4432  543.5808
  [3,]  573.7290  572.0213  570.3137  568.6060  566.8983  565.1907  563.4830
  [4,]  592.7302  591.1781  589.6260  588.0739  586.5218  584.9697  583.4176
  [5,]  611.7589  610.3632  608.9675  607.5718  606.1761  604.7804  603.3846
  [6,]  630.8154  629.5769  628.3383  627.0997  625.8612  624.6226  623.3841
  [7,]  649.8995  648.8189  647.7383  646.6577  645.5771  644.4965  643.4159
  [8,]  669.0113  668.0895  667.1676  666.2457  665.3239  664.4020  663.4801
  [9,]  688.1508  687.3884  686.6261  685.8638  685.1014  684.3391  683.5767
 [10,]  707.3179  706.7159  706.1139  705.5118  704.9098  704.3078  703.7058
 [11,]  726.5127  726.0718  725.6309  725.1899  724.7490  724.3081  723.8672
 [12,]  745.7351  745.4561  745.1771  744.8981  744.6190  744.3400  744.0610
 [13,]  764.9852  764.8689  764.7526  764.6362  764.5199  764.4036  764.2872
 [14,]  784.2630  784.3101  784.3573  784.4044  784.4516  784.4987  784.5458
 [15,]  803.5684  803.7798  803.9912  804.2026  804.4140  804.6254  804.8368
 [16,]  822.9015  823.2780  823.6544  824.0309  824.4074  824.7838  825.1603
 [17,]  842.2623  842.8046  843.3469  843.8892  844.4315  844.9738  845.5161
 [18,]  861.6507  862.3597  863.0686  863.7775  864.4864  865.1953  865.9043
 [19,]  881.0668  881.9432  882.8195  883.6958  884.5722  885.4485  886.3249
 [20,]  900.5106  901.5551  902.5997  903.6442  904.6888  905.7333  906.7779
 [21,]  919.9820  921.1955  922.4091  923.6226  924.8362  926.0497  927.2633
 [22,]  939.4811  940.8644  942.2477  943.6311  945.0144  946.3977  947.7811
 [23,]  959.0078  960.5617  962.1156  963.6695  965.2235  966.7774  968.3313
 [24,]  978.5622  980.2875  982.0128  983.7380  985.4633  987.1886  988.9139
 [25,]  998.1443 1000.0417 1001.9392 1003.8366 1005.7340 1007.6314 1009.5289
 [26,] 1017.7540 1019.8244 1021.8948 1023.9651 1026.0355 1028.1059 1030.1763
 [27,] 1037.3914 1039.6355 1041.8796 1044.1237 1046.3678 1048.6119 1050.8561
 [28,] 1057.0565 1059.4751 1061.8937 1064.3124 1066.7310 1069.1496 1071.5682
 [29,] 1076.7492 1079.3432 1081.9371 1084.5310 1087.1250 1089.7189 1092.3128
 [30,] 1096.4696 1099.2396 1102.0097 1104.7797 1107.5497 1110.3198 1113.0898
 [31,] 1116.2177 1119.1646 1122.1115 1125.0584 1128.0054 1130.9523 1133.8992
 [32,] 1135.9934 1139.1180 1142.2426 1145.3672 1148.4918 1151.6164 1154.7410
 [33,] 1155.7968 1159.0998 1162.4029 1165.7060 1169.0090 1172.3121 1175.6152
 [34,] 1175.6278 1179.1101 1182.5924 1186.0748 1189.5571 1193.0394 1196.5217
 [35,] 1195.4865 1199.1489 1202.8112 1206.4736 1210.1360 1213.7983 1217.4607
 [36,] 1215.3729 1219.2161 1223.0593 1226.9025 1230.7457 1234.5889 1238.4321
 [37,] 1235.2869 1239.3117 1243.3366 1247.3614 1251.3862 1255.4110 1259.4359
 [38,] 1255.2286 1259.4359 1263.6431 1267.8503 1272.0576 1276.2648 1280.4720
 [39,] 1275.1980 1279.5884 1283.9789 1288.3693 1292.7597 1297.1502 1301.5406
 [40,] 1295.1950 1299.7694 1304.3439 1308.9183 1313.4927 1318.0671 1322.6416
 [41,] 1315.2197 1319.9789 1324.7381 1329.4973 1334.2565 1339.0157 1343.7749
 [42,] 1335.2721 1340.2168 1345.1616 1350.1064 1355.0511 1359.9959 1364.9407
 [43,] 1355.3521 1360.4832 1365.6143 1370.7455 1375.8766 1381.0077 1386.1389
 [44,] 1375.4598 1380.7780 1386.0963 1391.4146 1396.7329 1402.0511 1407.3694
 [45,] 1395.5951 1401.1013 1406.6075 1412.1137 1417.6200 1423.1262 1428.6324
 [46,] 1415.7581 1421.4530 1427.1480 1432.8429 1438.5379 1444.2328 1449.9277
 [47,] 1435.9488 1441.8332 1447.7177 1453.6021 1459.4866 1465.3710 1471.2555
 [48,] 1456.1671 1462.2419 1468.3166 1474.3914 1480.4661 1486.5409 1492.6156
 [49,] 1476.4131 1482.6790 1488.9448 1495.2107 1501.4765 1507.7423 1514.0082
 [50,] 1496.6868 1503.1445 1509.6022 1516.0600 1522.5177 1528.9754 1535.4331
 [51,] 1516.9881 1523.6385 1530.2889 1536.9393 1543.5897 1550.2401 1556.8905
 [52,] 1537.3171 1544.1610 1551.0048 1557.8487 1564.6925 1571.5364 1578.3802
 [53,] 1557.6737 1564.7119 1571.7500 1578.7881 1585.8262 1592.8643 1599.9024
 [54,] 1578.0581 1585.2912 1592.5244 1599.7575 1606.9906 1614.2238 1621.4569
 [55,] 1598.4700 1605.8990 1613.3280 1620.7570 1628.1859 1635.6149 1643.0439
 [56,] 1618.9097 1626.5353 1634.1609 1641.7864 1649.4120 1657.0376 1664.6632
 [57,] 1639.3770 1647.2000 1655.0230 1662.8460 1670.6690 1678.4920 1686.3149
 [58,] 1659.8720 1667.8932 1675.9143 1683.9355 1691.9567 1699.9779 1707.9991
 [59,] 1680.3946 1688.6148 1696.8349 1705.0551 1713.2753 1721.4954 1729.7156
 [60,] 1700.9449 1709.3648 1717.7848 1726.2047 1734.6247 1743.0446 1751.4645
 [61,] 1721.5229 1730.1434 1738.7639 1747.3844 1756.0049 1764.6254 1773.2459
 [62,] 1742.1285 1750.9503 1759.7722 1768.5940 1777.4159 1786.2378 1795.0596
 [63,] 1762.7618 1771.7858 1780.8098 1789.8338 1798.8577 1807.8817 1816.9057
 [64,] 1783.4227 1792.6497 1801.8766 1811.1035 1820.3304 1829.5573 1838.7843
 [65,] 1804.1114 1813.5420 1822.9726 1832.4033 1841.8339 1851.2645 1860.6952
 [66,] 1824.8276 1834.4628 1844.0979 1853.7331 1863.3682 1873.0034 1882.6385
 [67,] 1845.5716 1855.4120 1865.2525 1875.0929 1884.9333 1894.7738 1904.6142
 [68,] 1866.3432 1876.3897 1886.4362 1896.4828 1906.5293 1916.5758 1926.6223
 [69,] 1887.1425 1897.3959 1907.6493 1917.9027 1928.1561 1938.4095 1948.6629
 [70,] 1907.9694 1918.4305 1928.8915 1939.3526 1949.8136 1960.2747 1970.7358
 [71,] 1928.8240 1939.4935 1950.1630 1960.8325 1971.5021 1982.1716 1992.8411
 [72,] 1949.7063 1960.5850 1971.4638 1982.3425 1993.2213 2004.1000 2014.9788
 [73,] 1970.6162 1981.7050 1992.7938 2003.8825 2014.9713 2026.0601 2037.1489
 [74,] 1991.5538 2002.8534 2014.1530 2025.4526 2036.7522 2048.0518 2059.3514
 [75,] 2012.5190 2024.0302 2035.5415 2047.0527 2058.5639 2070.0751 2081.5863
 [76,] 2033.5120 2045.2356 2056.9592 2068.6828 2080.4064 2092.1300 2103.8536
 [77,] 2054.5325 2066.4693 2078.4061 2090.3429 2102.2797 2114.2165 2126.1533
 [78,] 2075.5808 2087.7315 2099.8823 2112.0331 2124.1839 2136.3346 2148.4854
 [79,] 2096.6567 2109.0222 2121.3878 2133.7533 2146.1188 2158.4844 2170.8499
 [80,] 2117.7603 2130.3413 2142.9224 2155.5035 2168.0846 2180.6657 2193.2468
 [81,] 2138.8915 2151.6889 2164.4864 2177.2838 2190.0812 2202.8787 2215.6761
 [82,] 2160.0504 2173.0650 2186.0795 2199.0941 2212.1087 2225.1232 2238.1378
 [83,] 2181.2370 2194.4694 2207.7019 2220.9344 2234.1669 2247.3994 2260.6319
 [84,] 2202.4512 2215.9024 2229.3536 2242.8048 2256.2560 2269.7072 2283.1584
 [85,] 2223.6931 2237.3638 2251.0345 2264.7052 2278.3759 2292.0466 2305.7173
 [86,] 2244.9626 2258.8536 2272.7446 2286.6356 2300.5266 2314.4176 2328.3086
 [87,] 2266.2598 2280.3719 2294.4840 2308.5960 2322.7081 2336.8202 2350.9322
 [88,] 2287.5847 2301.9187 2316.2526 2330.5865 2344.9205 2359.2544 2373.5883
 [89,] 2308.9373 2323.4939 2338.0504 2352.6070 2367.1636 2381.7202 2396.2768
 [90,] 2330.3175 2345.0975 2359.8775 2374.6576 2389.4376 2404.2176 2418.9977
 [91,] 2351.7254 2366.7296 2381.7339 2396.7382 2411.7424 2426.7467 2441.7510
 [92,] 2373.1609 2388.3902 2403.6195 2418.8488 2434.0780 2449.3073 2464.5366
 [93,] 2394.6241 2410.0792 2425.5343 2440.9894 2456.4445 2471.8996 2487.3547
 [94,] 2416.1149 2431.7967 2447.4784 2463.1601 2478.8418 2494.5235 2510.2052
 [95,] 2437.6335 2453.5426 2469.4517 2485.3608 2501.2699 2517.1790 2533.0880
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 [99,] 2523.9842 2540.8108 2557.6373 2574.4639 2591.2904 2608.1170 2624.9435
           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
  [1,]  521.6945  519.6780  517.6615  515.6450  513.6286  511.6121  509.5956
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  [5,]  601.9889  600.5932  599.1975  597.8018  596.4061  595.0103  593.6146
  [6,]  622.1455  620.9070  619.6684  618.4299  617.1913  615.9527  614.7142
  [7,]  642.3353  641.2547  640.1741  639.0935  638.0129  636.9323  635.8517
  [8,]  662.5583  661.6364  660.7145  659.7927  658.8708  657.9489  657.0271
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 [16,]  825.5367  825.9132  826.2896  826.6661  827.0425  827.4190  827.7954
 [17,]  846.0584  846.6007  847.1429  847.6852  848.2275  848.7698  849.3121
 [18,]  866.6132  867.3221  868.0310  868.7400  869.4489  870.1578  870.8667
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 [20,]  907.8224  908.8670  909.9115  910.9561  912.0006  913.0452  914.0897
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 [24,]  990.6391  992.3644  994.0897  995.8150  997.5402  999.2655 1000.9908
 [25,] 1011.4263 1013.3237 1015.2212 1017.1186 1019.0160 1020.9134 1022.8109
 [26,] 1032.2466 1034.3170 1036.3874 1038.4577 1040.5281 1042.5985 1044.6689
 [27,] 1053.1002 1055.3443 1057.5884 1059.8325 1062.0766 1064.3207 1066.5648
 [28,] 1073.9869 1076.4055 1078.8241 1081.2427 1083.6614 1086.0800 1088.4986
 [29,] 1094.9068 1097.5007 1100.0946 1102.6886 1105.2825 1107.8764 1110.4704
 [30,] 1115.8598 1118.6299 1121.3999 1124.1699 1126.9400 1129.7100 1132.4800
 [31,] 1136.8461 1139.7930 1142.7400 1145.6869 1148.6338 1151.5807 1154.5276
 [32,] 1157.8656 1160.9902 1164.1148 1167.2394 1170.3640 1173.4886 1176.6132
 [33,] 1178.9182 1182.2213 1185.5244 1188.8274 1192.1305 1195.4335 1198.7366
 [34,] 1200.0041 1203.4864 1206.9687 1210.4510 1213.9333 1217.4157 1220.8980
 [35,] 1221.1231 1224.7854 1228.4478 1232.1102 1235.7725 1239.4349 1243.0973
 [36,] 1242.2753 1246.1185 1249.9617 1253.8049 1257.6481 1261.4913 1265.3345
 [37,] 1263.4607 1267.4855 1271.5103 1275.5351 1279.5600 1283.5848 1287.6096
 [38,] 1284.6793 1288.8865 1293.0937 1297.3010 1301.5082 1305.7154 1309.9227
 [39,] 1305.9310 1310.3215 1314.7119 1319.1023 1323.4928 1327.8832 1332.2736
 [40,] 1327.2160 1331.7904 1336.3648 1340.9393 1345.5137 1350.0881 1354.6625
 [41,] 1348.5341 1353.2933 1358.0525 1362.8118 1367.5710 1372.3302 1377.0894
 [42,] 1369.8855 1374.8302 1379.7750 1384.7198 1389.6646 1394.6093 1399.5541
 [43,] 1391.2700 1396.4011 1401.5322 1406.6634 1411.7945 1416.9256 1422.0568
 [44,] 1412.6877 1418.0060 1423.3242 1428.6425 1433.9608 1439.2791 1444.5974
 [45,] 1434.1386 1439.6448 1445.1510 1450.6572 1456.1634 1461.6697 1467.1759
 [46,] 1455.6227 1461.3176 1467.0125 1472.7075 1478.4024 1484.0974 1489.7923
 [47,] 1477.1399 1483.0244 1488.9088 1494.7933 1500.6777 1506.5622 1512.4466
 [48,] 1498.6904 1504.7652 1510.8399 1516.9147 1522.9894 1529.0642 1535.1389
 [49,] 1520.2740 1526.5399 1532.8057 1539.0716 1545.3374 1551.6033 1557.8691
 [50,] 1541.8909 1548.3486 1554.8063 1561.2641 1567.7218 1574.1795 1580.6372
 [51,] 1563.5409 1570.1913 1576.8417 1583.4921 1590.1425 1596.7929 1603.4433
 [52,] 1585.2241 1592.0680 1598.9118 1605.7557 1612.5995 1619.4434 1626.2872
 [53,] 1606.9405 1613.9786 1621.0167 1628.0548 1635.0929 1642.1310 1649.1691
 [54,] 1628.6901 1635.9232 1643.1564 1650.3895 1657.6226 1664.8558 1672.0889
 [55,] 1650.4728 1657.9018 1665.3308 1672.7597 1680.1887 1687.6177 1695.0467
 [56,] 1672.2888 1679.9144 1687.5400 1695.1655 1702.7911 1710.4167 1718.0423
 [57,] 1694.1379 1701.9609 1709.7839 1717.6069 1725.4299 1733.2529 1741.0759
 [58,] 1716.0203 1724.0414 1732.0626 1740.0838 1748.1050 1756.1262 1764.1474
 [59,] 1737.9358 1746.1559 1754.3761 1762.5963 1770.8164 1779.0366 1787.2568
 [60,] 1759.8845 1768.3044 1776.7244 1785.1443 1793.5642 1801.9842 1810.4041
 [61,] 1781.8664 1790.4869 1799.1074 1807.7279 1816.3484 1824.9689 1833.5894
 [62,] 1803.8815 1812.7033 1821.5252 1830.3470 1839.1689 1847.9907 1856.8126
 [63,] 1825.9297 1834.9537 1843.9777 1853.0017 1862.0257 1871.0497 1880.0737
 [64,] 1848.0112 1857.2381 1866.4650 1875.6919 1884.9188 1894.1458 1903.3727
 [65,] 1870.1258 1879.5564 1888.9871 1898.4177 1907.8484 1917.2790 1926.7096
 [66,] 1892.2736 1901.9088 1911.5439 1921.1791 1930.8142 1940.4494 1950.0845
 [67,] 1914.4547 1924.2951 1934.1355 1943.9760 1953.8164 1963.6569 1973.4973
 [68,] 1936.6689 1946.7154 1956.7619 1966.8084 1976.8550 1986.9015 1996.9480
 [69,] 1958.9162 1969.1696 1979.4230 1989.6764 1999.9298 2010.1832 2020.4366
 [70,] 1981.1968 1991.6579 2002.1189 2012.5800 2023.0411 2033.5021 2043.9632
 [71,] 2003.5106 2014.1801 2024.8496 2035.5191 2046.1886 2056.8582 2067.5277
 [72,] 2025.8575 2036.7363 2047.6151 2058.4938 2069.3726 2080.2513 2091.1301
 [73,] 2048.2377 2059.3265 2070.4153 2081.5040 2092.5928 2103.6816 2114.7704
 [74,] 2070.6510 2081.9506 2093.2502 2104.5498 2115.8494 2127.1490 2138.4486
 [75,] 2093.0975 2104.6087 2116.1199 2127.6312 2139.1424 2150.6536 2162.1648
 [76,] 2115.5772 2127.3008 2139.0244 2150.7481 2162.4717 2174.1953 2185.9189
 [77,] 2138.0901 2150.0269 2161.9637 2173.9005 2185.8373 2197.7741 2209.7109
 [78,] 2160.6362 2172.7870 2184.9377 2197.0885 2209.2393 2221.3901 2233.5408
 [79,] 2183.2155 2195.5810 2207.9465 2220.3121 2232.6776 2245.0431 2257.4087
 [80,] 2205.8279 2218.4090 2230.9901 2243.5712 2256.1523 2268.7334 2281.3145
 [81,] 2228.4735 2241.2710 2254.0684 2266.8658 2279.6633 2292.4607 2305.2582
 [82,] 2251.1524 2264.1669 2277.1815 2290.1961 2303.2106 2316.2252 2329.2398
 [83,] 2273.8644 2287.0969 2300.3294 2313.5618 2326.7943 2340.0268 2353.2593
 [84,] 2296.6096 2310.0608 2323.5120 2336.9632 2350.4144 2363.8656 2377.3168
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 [87,] 2365.0443 2379.1564 2393.2684 2407.3805 2421.4926 2435.6046 2449.7167
 [88,] 2387.9223 2402.2562 2416.5901 2430.9240 2445.2580 2459.5919 2473.9258
 [89,] 2410.8334 2425.3900 2439.9466 2454.5032 2469.0597 2483.6163 2498.1729
 [90,] 2433.7777 2448.5577 2463.3378 2478.1178 2492.8978 2507.6779 2522.4579
 [91,] 2456.7552 2471.7595 2486.7638 2501.7680 2516.7723 2531.7766 2546.7808
 [92,] 2479.7659 2494.9952 2510.2245 2525.4538 2540.6831 2555.9124 2571.1417
 [93,] 2502.8098 2518.2649 2533.7200 2549.1751 2564.6302 2580.0853 2595.5404
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 [95,] 2548.9971 2564.9062 2580.8153 2596.7244 2612.6335 2628.5426 2644.4517
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 [97,] 2595.3172 2611.6835 2628.0497 2644.4160 2660.7822 2677.1484 2693.5147
 [98,] 2618.5270 2635.1230 2651.7190 2668.3151 2684.9111 2701.5071 2718.1031
 [99,] 2641.7701 2658.5966 2675.4232 2692.2497 2709.0762 2725.9028 2742.7293
           [,99]
  [1,]  507.5792
  [2,]  528.6810
  [3,]  549.8216
  [4,]  571.0009
  [5,]  592.2189
  [6,]  613.4756
  [7,]  634.7711
  [8,]  656.1052
  [9,]  677.4780
 [10,]  698.8896
 [11,]  720.3399
 [12,]  741.8288
 [13,]  763.3565
 [14,]  784.9229
 [15,]  806.5281
 [16,]  828.1719
 [17,]  849.8544
 [18,]  871.5757
 [19,]  893.3356
 [20,]  915.1343
 [21,]  936.9717
 [22,]  958.8478
 [23,]  980.7626
 [24,] 1002.7161
 [25,] 1024.7083
 [26,] 1046.7392
 [27,] 1068.8089
 [28,] 1090.9172
 [29,] 1113.0643
 [30,] 1135.2501
 [31,] 1157.4746
 [32,] 1179.7378
 [33,] 1202.0397
 [34,] 1224.3803
 [35,] 1246.7596
 [36,] 1269.1777
 [37,] 1291.6344
 [38,] 1314.1299
 [39,] 1336.6641
 [40,] 1359.2370
 [41,] 1381.8486
 [42,] 1404.4989
 [43,] 1427.1879
 [44,] 1449.9156
 [45,] 1472.6821
 [46,] 1495.4872
 [47,] 1518.3311
 [48,] 1541.2137
 [49,] 1564.1350
 [50,] 1587.0950
 [51,] 1610.0937
 [52,] 1633.1311
 [53,] 1656.2072
 [54,] 1679.3221
 [55,] 1702.4756
 [56,] 1725.6679
 [57,] 1748.8989
 [58,] 1772.1686
 [59,] 1795.4769
 [60,] 1818.8241
 [61,] 1842.2099
 [62,] 1865.6344
 [63,] 1889.0977
 [64,] 1912.5996
 [65,] 1936.1403
 [66,] 1959.7196
 [67,] 1983.3377
 [68,] 2006.9945
 [69,] 2030.6900
 [70,] 2054.4243
 [71,] 2078.1972
 [72,] 2102.0088
 [73,] 2125.8592
 [74,] 2149.7482
 [75,] 2173.6760
 [76,] 2197.6425
 [77,] 2221.6477
 [78,] 2245.6916
 [79,] 2269.7742
 [80,] 2293.8955
 [81,] 2318.0556
 [82,] 2342.2543
 [83,] 2366.4918
 [84,] 2390.7680
 [85,] 2415.0829
 [86,] 2439.4365
 [87,] 2463.8288
 [88,] 2488.2598
 [89,] 2512.7295
 [90,] 2537.2379
 [91,] 2561.7851
 [92,] 2586.3710
 [93,] 2610.9955
 [94,] 2635.6588
 [95,] 2660.3608
 [96,] 2685.1015
 [97,] 2709.8809
 [98,] 2734.6991
 [99,] 2759.5559

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "arain_tot"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc
1      0      2     5       0        0

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_2010_v <- visreg2d(baseline_quad_inter_2010, "N_kgha", "arain_tot",ylab="Rainfall (mm)",xlab="Nitrogen (kg per ha)", main="2010")

baseline_quad_inter_2010_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  447.1759  463.5014  479.8268  496.1522  512.4776  528.8030  545.1285
 [8]  561.4539  577.7793  594.1047  610.4301  626.7556  643.0810  659.4064
[15]  675.7318  692.0572  708.3827  724.7081  741.0335  757.3589  773.6843
[22]  790.0098  806.3352  822.6606  838.9860  855.3114  871.6369  887.9623
[29]  904.2877  920.6131  936.9385  953.2640  969.5894  985.9148 1002.2402
[36] 1018.5656 1034.8911 1051.2165 1067.5419 1083.8673 1100.1928 1116.5182
[43] 1132.8436 1149.1690 1165.4944 1181.8199 1198.1453 1214.4707 1230.7961
[50] 1247.1215 1263.4470 1279.7724 1296.0978 1312.4232 1328.7486 1345.0741
[57] 1361.3995 1377.7249 1394.0503 1410.3757 1426.7012 1443.0266 1459.3520
[64] 1475.6774 1492.0028 1508.3283 1524.6537 1540.9791 1557.3045 1573.6299
[71] 1589.9554 1606.2808 1622.6062 1638.9316 1655.2570 1671.5825 1687.9079
[78] 1704.2333 1720.5587 1736.8841 1753.2096 1769.5350 1785.8604 1802.1858
[85] 1818.5113 1834.8367 1851.1621 1867.4875 1883.8129 1900.1384 1916.4638
[92] 1932.7892 1949.1146 1965.4400 1981.7655 1998.0909 2014.4163 2030.7417
[99] 2047.0671

$z
           [,1]     [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,] 695.1292 695.6335  696.1378  696.6421  697.1465  697.6508  698.1551
  [2,] 703.6521 704.0012  704.3502  704.6993  705.0483  705.3974  705.7464
  [3,] 712.0472 712.2497  712.4522  712.6546  712.8571  713.0596  713.2621
  [4,] 720.3145 720.3791  720.4437  720.5082  720.5728  720.6374  720.7020
  [5,] 728.4540 728.3894  728.3247  728.2601  728.1954  728.1308  728.0661
  [6,] 736.4657 736.2805  736.0953  735.9101  735.7249  735.5397  735.3546
  [7,] 744.3495 744.0525  743.7554  743.4584  743.1613  742.8643  742.5673
  [8,] 752.1055 751.7053  751.3051  750.9049  750.5047  750.1045  749.7042
  [9,] 759.7337 759.2390  758.7443  758.2496  757.7549  757.2602  756.7655
 [10,] 767.2341 766.6536  766.0731  765.4926  764.9120  764.3315  763.7510
 [11,] 774.6067 773.9491  773.2914  772.6337  771.9761  771.3184  770.6608
 [12,] 781.8515 781.1254  780.3993  779.6732  778.9470  778.2209  777.4948
 [13,] 788.9684 788.1825  787.3967  786.6108  785.8249  785.0390  784.2532
 [14,] 795.9575 795.1206  794.2836  793.4466  792.6097  791.7727  790.9358
 [15,] 802.8188 801.9395  801.0601  800.1807  799.3014  798.4220  797.5426
 [16,] 809.5523 808.6392  807.7261  806.8131  805.9000  804.9869  804.0738
 [17,] 816.1580 815.2199  814.2817  813.3436  812.4055  811.4673  810.5292
 [18,] 822.6359 821.6814  820.7269  819.7724  818.8179  817.8633  816.9088
 [19,] 828.9859 828.0237  827.0615  826.0994  825.1372  824.1750  823.2128
 [20,] 835.2081 834.2470  833.2858  832.3246  831.3634  830.4022  829.4410
 [21,] 841.3026 840.3510  839.3995  838.4480  837.4965  836.5450  835.5935
 [22,] 847.2691 846.3360  845.4028  844.4697  843.5365  842.6034  841.6703
 [23,] 853.1079 852.2018  851.2957  850.3896  849.4835  848.5774  847.6713
 [24,] 858.8189 857.9485  857.0781  856.2077  855.3373  854.4670  853.5966
 [25,] 864.4020 863.5760  862.7501  861.9241  861.0981  860.2721  859.4461
 [26,] 869.8573 869.0844  868.3116  867.5387  866.7658  865.9929  865.2200
 [27,] 875.1849 874.4737  873.7626  873.0515  872.3403  871.6292  870.9181
 [28,] 880.3845 879.7439  879.1032  878.4625  877.8218  877.1811  876.5405
 [29,] 885.4564 884.8949  884.3333  883.7718  883.2102  882.6487  882.0871
 [30,] 890.4005 889.9267  889.4530  888.9793  888.5055  888.0318  887.5580
 [31,] 895.2167 894.8395  894.4622  894.0850  893.7077  893.3305  892.9532
 [32,] 899.9051 899.6331  899.3610  899.0889  898.8168  898.5448  898.2727
 [33,] 904.4657 904.3075  904.1493  903.9911  903.8329  903.6746  903.5164
 [34,] 908.8985 908.8628  908.8272  908.7915  908.7558  908.7201  908.6844
 [35,] 913.2035 913.2990  913.3946  913.4901  913.5856  913.6811  913.7767
 [36,] 917.3807 917.6161  917.8515  918.0869  918.3224  918.5578  918.7932
 [37,] 921.4300 921.8140  922.1980  922.5820  922.9660  923.3500  923.7340
 [38,] 925.3515 925.8928  926.4341  926.9753  927.5166  928.0578  928.5991
 [39,] 929.1452 929.8524  930.5596  931.2668  931.9740  932.6813  933.3885
 [40,] 932.8111 933.6930  934.5748  935.4566  936.3384  937.2202  938.1021
 [41,] 936.3492 937.4143  938.4795  939.5446  940.6097  941.6748  942.7400
 [42,] 939.7595 941.0166  942.2737  943.5308  944.7879  946.0450  947.3021
 [43,] 943.0419 944.4997  945.9575  947.4152  948.8730  950.3308  951.7886
 [44,] 946.1965 947.8636  949.5308  951.1979  952.8650  954.5321  956.1993
 [45,] 949.2233 951.1085  952.9936  954.8788  956.7639  958.6491  960.5342
 [46,] 952.1223 954.2342  956.3460  958.4579  960.5697  962.6816  964.7935
 [47,] 954.8935 957.2407  959.5880  961.9352  964.2825  966.6297  968.9770
 [48,] 957.5368 960.1282  962.7195  965.3108  967.9021  970.4934  973.0848
 [49,] 960.0524 962.8965  965.7405  968.5846  971.4287  974.2727  977.1168
 [50,] 962.4401 965.5456  968.6511  971.7566  974.8621  977.9676  981.0731
 [51,] 964.7000 968.0756  971.4512  974.8269  978.2025  981.5781  984.9537
 [52,] 966.8321 970.4865  974.1409  977.7953  981.4498  985.1042  988.7586
 [53,] 968.8364 972.7783  976.7202  980.6620  984.6039  988.5458  992.4877
 [54,] 970.7128 974.9509  979.1889  983.4270  987.6650  991.9031  996.1411
 [55,] 972.4615 977.0044  981.5472  986.0901  990.6330  995.1759  999.7188
 [56,] 974.0823 978.9387  983.7951  988.6515  993.5079  998.3643 1003.2207
 [57,] 975.5753 980.7539  985.9325  991.1111  996.2897 1001.4683 1006.6469
 [58,] 976.9405 982.4500  987.9595  993.4690  998.9784 1004.4879 1009.9974
 [59,] 978.1778 984.0269  989.8760  995.7250 1001.5741 1007.4231 1013.2722
 [60,] 979.2874 985.4847  991.6820  997.8793 1004.0766 1010.2739 1016.4712
 [61,] 980.2691 986.8234  993.3776  999.9318 1006.4860 1013.0403 1019.5945
 [62,] 981.1231 988.0429  994.9627 1001.8826 1008.8024 1015.7222 1022.6421
 [63,] 981.8492 989.1433  996.4374 1003.7315 1011.0257 1018.3198 1025.6139
 [64,] 982.4475 990.1245  997.8016 1005.4787 1013.1558 1020.8329 1028.5100
 [65,] 982.9179 990.9867  999.0554 1007.1241 1015.1929 1023.2616 1031.3304
 [66,] 983.2606 991.7296 1000.1987 1008.6678 1017.1369 1025.6059 1034.0750
 [67,] 983.4754 992.3535 1001.2316 1010.1097 1018.9878 1027.8658 1036.7439
 [68,] 983.5624 992.8582 1002.1540 1011.4498 1020.7456 1030.0413 1039.3371
 [69,] 983.5216 993.2438 1002.9659 1012.6881 1022.4103 1032.1324 1041.8546
 [70,] 983.3530 993.5102 1003.6674 1013.8247 1023.9819 1034.1391 1044.2963
 [71,] 983.0566 993.6575 1004.2585 1014.8594 1025.4604 1036.0613 1046.6623
 [72,] 982.6323 993.6857 1004.7391 1015.7925 1026.8458 1037.8992 1048.9526
 [73,] 982.0803 993.5947 1005.1092 1016.6237 1028.1382 1039.6526 1051.1671
 [74,] 981.4004 993.3846 1005.3689 1017.3532 1029.3374 1041.3217 1053.3059
 [75,] 980.5927 993.0554 1005.5181 1017.9808 1030.4436 1042.9063 1055.3690
 [76,] 979.6572 992.6070 1005.5569 1018.5068 1031.4566 1044.4065 1057.3563
 [77,] 978.5939 992.0395 1005.4852 1018.9309 1032.3766 1045.8223 1059.2679
 [78,] 977.4027 991.3529 1005.3031 1019.2533 1033.2035 1047.1536 1061.1038
 [79,] 976.0837 990.5471 1005.0105 1019.4739 1033.9372 1048.4006 1062.8640
 [80,] 974.6370 989.6222 1004.6074 1019.5927 1034.5779 1049.5632 1064.5484
 [81,] 973.0624 988.5782 1004.0939 1019.6097 1035.1255 1050.6413 1066.1571
 [82,] 971.3599 987.4150 1003.4700 1019.5250 1035.5800 1051.6351 1067.6901
 [83,] 969.5297 986.1326 1002.7356 1019.3385 1035.9414 1052.5444 1069.1473
 [84,] 967.5717 984.7312 1001.8907 1019.0502 1036.2098 1053.3693 1070.5288
 [85,] 965.4858 983.2106 1000.9354 1018.6602 1036.3850 1054.1098 1071.8346
 [86,] 963.2721 981.5709  999.8696 1018.1684 1036.4671 1054.7659 1073.0646
 [87,] 960.9306 979.8120  998.6934 1017.5748 1036.4562 1055.3376 1074.2190
 [88,] 958.4613 977.9340  997.4067 1016.8794 1036.3521 1055.8248 1075.2976
 [89,] 955.8642 975.9369  996.0096 1016.0823 1036.1550 1056.2277 1076.3004
 [90,] 953.1392 973.8206  994.5020 1015.1834 1035.8648 1056.5462 1077.2275
 [91,] 950.2865 971.5852  992.8839 1014.1827 1035.4814 1056.7802 1078.0789
 [92,] 947.3059 969.2307  991.1554 1013.0802 1035.0050 1056.9298 1078.8546
 [93,] 944.1975 966.7570  989.3165 1011.8760 1034.4355 1056.9950 1079.5545
 [94,] 940.9613 964.1642  987.3671 1010.5700 1033.7729 1056.9758 1080.1788
 [95,] 937.5972 961.4522  985.3072 1009.1622 1033.0172 1056.8722 1080.7272
 [96,] 934.1054 958.6211  983.1369 1007.6527 1032.1684 1056.6842 1081.2000
 [97,] 930.4857 955.6709  980.8561 1006.0414 1031.2266 1056.4118 1081.5970
 [98,] 926.7382 952.6016  978.4649 1004.3283 1030.1916 1056.0549 1081.9183
 [99,] 922.8629 949.4131  975.9632 1002.5134 1029.0635 1055.6137 1082.1639
            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
  [1,]  698.6594  699.1637  699.6680  700.1724  700.6767  701.1810  701.6853
  [2,]  706.0955  706.4446  706.7936  707.1427  707.4917  707.8408  708.1898
  [3,]  713.4645  713.6670  713.8695  714.0720  714.2744  714.4769  714.6794
  [4,]  720.7665  720.8311  720.8957  720.9603  721.0248  721.0894  721.1540
  [5,]  728.0015  727.9368  727.8722  727.8076  727.7429  727.6783  727.6136
  [6,]  735.1694  734.9842  734.7990  734.6138  734.4287  734.2435  734.0583
  [7,]  742.2702  741.9732  741.6762  741.3791  741.0821  740.7850  740.4880
  [8,]  749.3040  748.9038  748.5036  748.1034  747.7032  747.3030  746.9027
  [9,]  756.2708  755.7761  755.2814  754.7867  754.2919  753.7972  753.3025
 [10,]  763.1705  762.5900  762.0094  761.4289  760.8484  760.2679  759.6873
 [11,]  770.0031  769.3455  768.6878  768.0302  767.3725  766.7149  766.0572
 [12,]  776.7687  776.0426  775.3165  774.5904  773.8643  773.1382  772.4121
 [13,]  783.4673  782.6814  781.8955  781.1097  780.3238  779.5379  778.7520
 [14,]  790.0988  789.2618  788.4249  787.5879  786.7509  785.9140  785.0770
 [15,]  796.6633  795.7839  794.9045  794.0251  793.1458  792.2664  791.3870
 [16,]  803.1607  802.2476  801.3345  800.4214  799.5083  798.5952  797.6821
 [17,]  809.5910  808.6529  807.7147  806.7766  805.8385  804.9003  803.9622
 [18,]  815.9543  814.9998  814.0453  813.0908  812.1363  811.1818  810.2273
 [19,]  822.2506  821.2884  820.3262  819.3640  818.4019  817.4397  816.4775
 [20,]  828.4798  827.5186  826.5574  825.5963  824.6351  823.6739  822.7127
 [21,]  834.6420  833.6905  832.7390  831.7875  830.8359  829.8844  828.9329
 [22,]  840.7371  839.8040  838.8708  837.9377  837.0045  836.0714  835.1382
 [23,]  846.7652  845.8591  844.9530  844.0469  843.1407  842.2346  841.3285
 [24,]  852.7262  851.8558  850.9854  850.1150  849.2447  848.3743  847.5039
 [25,]  858.6202  857.7942  856.9682  856.1422  855.3162  854.4903  853.6643
 [26,]  864.4471  863.6742  862.9013  862.1284  861.3555  860.5826  859.8097
 [27,]  870.2070  869.4958  868.7847  868.0736  867.3625  866.6513  865.9402
 [28,]  875.8998  875.2591  874.6184  873.9777  873.3371  872.6964  872.0557
 [29,]  881.5256  880.9640  880.4025  879.8409  879.2794  878.7178  878.1563
 [30,]  887.0843  886.6106  886.1368  885.6631  885.1893  884.7156  884.2418
 [31,]  892.5760  892.1987  891.8215  891.4442  891.0670  890.6897  890.3125
 [32,]  898.0006  897.7285  897.4564  897.1844  896.9123  896.6402  896.3681
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 [58,] 1015.5069 1021.0164 1026.5259 1032.0354 1037.5449 1043.0544 1048.5639
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           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
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 [64,] 1089.9267 1097.6038 1105.2809 1112.9580 1120.6351 1128.3122 1135.9893
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 [71,] 1131.4699 1142.0709 1152.6718 1163.2728 1173.8737 1184.4747 1195.0756
 [72,] 1137.3795 1148.4329 1159.4863 1170.5396 1181.5930 1192.6464 1203.6997
 [73,] 1143.2829 1154.7973 1166.3118 1177.8263 1189.3407 1200.8552 1212.3697
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 [77,] 1166.8334 1180.2791 1193.7248 1207.1704 1220.6161 1234.0618 1247.5075
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 [99,] 1294.5651 1321.1153 1347.6654 1374.2156 1400.7657 1427.3159 1453.8660
           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
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           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
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 [54,] 1148.7109 1152.9489 1157.1870 1161.4250 1165.6631 1169.9011 1174.1392
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 [56,] 1178.0514 1182.9079 1187.7643 1192.6207 1197.4771 1202.3335 1207.1899
 [57,] 1193.0769 1198.2555 1203.4341 1208.6127 1213.7913 1218.9700 1224.1486
 [58,] 1208.3392 1213.8487 1219.3581 1224.8676 1230.3771 1235.8866 1241.3961
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 [60,] 1239.5741 1245.7714 1251.9687 1258.1660 1264.3633 1270.5606 1276.7579
 [61,] 1255.5467 1262.1009 1268.6551 1275.2094 1281.7636 1288.3178 1294.8720
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 [63,] 1288.2023 1295.4964 1302.7906 1310.0847 1317.3788 1324.6729 1331.9671
 [64,] 1304.8853 1312.5624 1320.2395 1327.9166 1335.5937 1343.2708 1350.9479
 [65,] 1321.8051 1329.8739 1337.9426 1346.0114 1354.0801 1362.1488 1370.2176
 [66,] 1338.9617 1347.4308 1355.8999 1364.3689 1372.8380 1381.3071 1389.7762
 [67,] 1356.3551 1365.2332 1374.1113 1382.9894 1391.8674 1400.7455 1409.6236
 [68,] 1373.9853 1383.2811 1392.5768 1401.8726 1411.1684 1420.4642 1429.7600
 [69,] 1391.8522 1401.5744 1411.2965 1421.0187 1430.7409 1440.4630 1450.1852
 [70,] 1409.9560 1420.1132 1430.2704 1440.4276 1450.5848 1460.7421 1470.8993
 [71,] 1428.2965 1438.8975 1449.4984 1460.0994 1470.7003 1481.3013 1491.9023
 [72,] 1446.8739 1457.9273 1468.9806 1480.0340 1491.0874 1502.1407 1513.1941
 [73,] 1465.6880 1477.2025 1488.7170 1500.2314 1511.7459 1523.2604 1534.7748
 [74,] 1484.7389 1496.7232 1508.7074 1520.6917 1532.6759 1544.6602 1556.6445
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 [76,] 1523.5512 1536.5010 1549.4509 1562.4007 1575.3506 1588.3005 1601.2503
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 [80,] 1604.0171 1619.0024 1633.9876 1648.9729 1663.9581 1678.9433 1693.9286
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 [89,] 1798.9179 1818.9906 1839.0633 1859.1360 1879.2087 1899.2814 1919.3541
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 [98,] 2012.9987 2038.8621 2064.7254 2090.5888 2116.4521 2142.3155 2168.1788
 [99,] 2037.9695 2064.5196 2091.0698 2117.6199 2144.1701 2170.7202 2197.2704
           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
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  [7,]  729.7946  729.4976  729.2005  728.9035  728.6064  728.3094  728.0124
  [8,]  732.4950  732.0948  731.6946  731.2944  730.8942  730.4940  730.0937
  [9,]  735.4930  734.9983  734.5036  734.0089  733.5142  733.0195  732.5248
 [10,]  738.7886  738.2080  737.6275  737.0470  736.4665  735.8860  735.3054
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           [,78]     [,79]     [,80]     [,81]     [,82]     [,83]     [,84]
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 [76,] 1976.7962 1989.7460 2002.6959 2015.6457 2028.5956 2041.5454 2054.4953
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           [,85]     [,86]     [,87]     [,88]     [,89]     [,90]     [,91]
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 [71,] 1873.5365 1884.1374 1894.7384 1905.3394 1915.9403 1926.5413 1937.1422
 [72,] 1911.1154 1922.1688 1933.2222 1944.2755 1955.3289 1966.3823 1977.4356
 [73,] 1949.2958 1960.8102 1972.3247 1983.8392 1995.3536 2006.8681 2018.3826
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 [95,] 2941.4174 2965.2724 2989.1274 3012.9824 3036.8374 3060.6924 3084.5474
 [96,] 2993.4300 3017.9457 3042.4615 3066.9773 3091.4930 3116.0088 3140.5246
 [97,] 3046.0439 3071.2291 3096.4143 3121.5996 3146.7848 3171.9700 3197.1552
 [98,] 3099.2593 3125.1226 3150.9859 3176.8493 3202.7126 3228.5760 3254.4393
 [99,] 3153.0760 3179.6262 3206.1763 3232.7265 3259.2766 3285.8268 3312.3769
           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
  [1,]  741.0221  741.5265  742.0308  742.5351  743.0394  743.5437  744.0480
  [2,]  735.4162  735.7652  736.1143  736.4634  736.8124  737.1615  737.5105
  [3,]  730.4724  730.6749  730.8774  731.0798  731.2823  731.4848  731.6873
  [4,]  726.1908  726.2554  726.3199  726.3845  726.4491  726.5137  726.5782
  [5,]  722.5714  722.5067  722.4421  722.3774  722.3128  722.2481  722.1835
  [6,]  719.6141  719.4289  719.2437  719.0585  718.8733  718.6882  718.5030
  [7,]  717.3190  717.0219  716.7249  716.4279  716.1308  715.8338  715.5367
  [8,]  715.6860  715.2858  714.8856  714.4854  714.0852  713.6850  713.2847
  [9,]  714.7153  714.2206  713.7258  713.2311  712.7364  712.2417  711.7470
 [10,]  714.4067  713.8261  713.2456  712.6651  712.0846  711.5041  710.9235
 [11,]  714.7602  714.1026  713.4449  712.7873  712.1296  711.4720  710.8143
 [12,]  715.7760  715.0499  714.3238  713.5977  712.8715  712.1454  711.4193
 [13,]  717.4539  716.6680  715.8821  715.0963  714.3104  713.5245  712.7386
 [14,]  719.7939  718.9570  718.1200  717.2831  716.4461  715.6091  714.7722
 [15,]  722.7962  721.9168  721.0375  720.1581  719.2787  718.3993  717.5200
 [16,]  726.4606  725.5475  724.6344  723.7213  722.8082  721.8951  720.9820
 [17,]  730.7872  729.8490  728.9109  727.9728  727.0346  726.0965  725.1583
 [18,]  735.7759  734.8214  733.8669  732.9124  731.9579  731.0034  730.0489
 [19,]  741.4269  740.4647  739.5025  738.5403  737.5781  736.6159  735.6537
 [20,]  747.7399  746.7788  745.8176  744.8564  743.8952  742.9340  741.9728
 [21,]  754.7152  753.7637  752.8122  751.8607  750.9092  749.9576  749.0061
 [22,]  762.3526  761.4195  760.4863  759.5532  758.6200  757.6869  756.7537
 [23,]  770.6522  769.7461  768.8400  767.9339  767.0278  766.1217  765.2156
 [24,]  779.6140  778.7436  777.8732  777.0028  776.1324  775.2621  774.3917
 [25,]  789.2379  788.4119  787.5859  786.7600  785.9340  785.1080  784.2820
 [26,]  799.5240  798.7511  797.9782  797.2053  796.4324  795.6595  794.8866
 [27,]  810.4723  809.7611  809.0500  808.3389  807.6278  806.9166  806.2055
 [28,]  822.0827  821.4420  820.8014  820.1607  819.5200  818.8793  818.2386
 [29,]  834.3553  833.7938  833.2322  832.6707  832.1091  831.5476  830.9860
 [30,]  847.2901  846.8164  846.3426  845.8689  845.3951  844.9214  844.4477
 [31,]  860.8870  860.5098  860.1325  859.7553  859.3780  859.0008  858.6235
 [32,]  875.1461  874.8741  874.6020  874.3299  874.0578  873.7858  873.5137
 [33,]  890.0674  889.9092  889.7510  889.5928  889.4345  889.2763  889.1181
 [34,]  905.6509  905.6152  905.5795  905.5438  905.5081  905.4724  905.4367
 [35,]  921.8965  921.9920  922.0876  922.1831  922.2786  922.3741  922.4697
 [36,]  938.8043  939.0397  939.2751  939.5106  939.7460  939.9814  940.2168
 [37,]  956.3742  956.7582  957.1422  957.5262  957.9103  958.2943  958.6783
 [38,]  974.6064  975.1476  975.6889  976.2302  976.7714  977.3127  977.8539
 [39,]  993.5007  994.2079  994.9151  995.6223  996.3295  997.0367  997.7439
 [40,] 1013.0571 1013.9389 1014.8208 1015.7026 1016.5844 1017.4662 1018.3481
 [41,] 1033.2758 1034.3409 1035.4060 1036.4711 1037.5363 1038.6014 1039.6665
 [42,] 1054.1566 1055.4137 1056.6708 1057.9279 1059.1850 1060.4421 1061.6992
 [43,] 1075.6995 1077.1573 1078.6151 1080.0728 1081.5306 1082.9884 1084.4462
 [44,] 1097.9047 1099.5718 1101.2389 1102.9060 1104.5731 1106.2403 1107.9074
 [45,] 1120.7720 1122.6571 1124.5423 1126.4274 1128.3126 1130.1977 1132.0829
 [46,] 1144.3014 1146.4133 1148.5252 1150.6370 1152.7489 1154.8607 1156.9726
 [47,] 1168.4931 1170.8403 1173.1876 1175.5348 1177.8821 1180.2293 1182.5766
 [48,] 1193.3469 1195.9382 1198.5295 1201.1209 1203.7122 1206.3035 1208.8948
 [49,] 1218.8629 1221.7069 1224.5510 1227.3951 1230.2392 1233.0832 1235.9273
 [50,] 1245.0410 1248.1465 1251.2520 1254.3575 1257.4630 1260.5685 1263.6741
 [51,] 1271.8813 1275.2570 1278.6326 1282.0082 1285.3838 1288.7594 1292.1351
 [52,] 1299.3838 1303.0382 1306.6927 1310.3471 1314.0015 1317.6559 1321.3103
 [53,] 1327.5485 1331.4904 1335.4323 1339.3742 1343.3161 1347.2579 1351.1998
 [54,] 1356.3753 1360.6134 1364.8514 1369.0895 1373.3275 1377.5656 1381.8036
 [55,] 1385.8643 1390.4072 1394.9501 1399.4930 1404.0359 1408.5787 1413.1216
 [56,] 1416.0155 1420.8719 1425.7283 1430.5847 1435.4411 1440.2975 1445.1539
 [57,] 1446.8288 1452.0074 1457.1860 1462.3646 1467.5432 1472.7219 1477.9005
 [58,] 1478.3043 1483.8138 1489.3233 1494.8328 1500.3423 1505.8518 1511.3613
 [59,] 1510.4420 1516.2910 1522.1401 1527.9891 1533.8382 1539.6873 1545.5363
 [60,] 1543.2418 1549.4391 1555.6364 1561.8337 1568.0310 1574.2283 1580.4256
 [61,] 1576.7038 1583.2580 1589.8123 1596.3665 1602.9207 1609.4749 1616.0292
 [62,] 1610.8280 1617.7478 1624.6677 1631.5875 1638.5073 1645.4272 1652.3470
 [63,] 1645.6143 1652.9085 1660.2026 1667.4967 1674.7908 1682.0849 1689.3791
 [64,] 1681.0628 1688.7399 1696.4170 1704.0941 1711.7712 1719.4483 1727.1254
 [65,] 1717.1735 1725.2423 1733.3110 1741.3798 1749.4485 1757.5172 1765.5860
 [66,] 1753.9464 1762.4154 1770.8845 1779.3536 1787.8227 1796.2917 1804.7608
 [67,] 1791.3814 1800.2595 1809.1376 1818.0157 1826.8937 1835.7718 1844.6499
 [68,] 1829.4786 1838.7744 1848.0701 1857.3659 1866.6617 1875.9575 1885.2533
 [69,] 1868.2379 1877.9601 1887.6823 1897.4044 1907.1266 1916.8487 1926.5709
 [70,] 1907.6595 1917.8167 1927.9739 1938.1311 1948.2883 1958.4455 1968.6027
 [71,] 1947.7432 1958.3441 1968.9451 1979.5460 1990.1470 2000.7479 2011.3489
 [72,] 1988.4890 1999.5424 2010.5958 2021.6491 2032.7025 2043.7559 2054.8092
 [73,] 2029.8971 2041.4115 2052.9260 2064.4405 2075.9549 2087.4694 2098.9839
 [74,] 2071.9673 2083.9515 2095.9358 2107.9200 2119.9043 2131.8885 2143.8728
 [75,] 2114.6996 2127.1623 2139.6250 2152.0878 2164.5505 2177.0132 2189.4759
 [76,] 2158.0942 2171.0440 2183.9939 2196.9437 2209.8936 2222.8434 2235.7933
 [77,] 2202.1509 2215.5965 2229.0422 2242.4879 2255.9336 2269.3793 2282.8250
 [78,] 2246.8697 2260.8199 2274.7701 2288.7203 2302.6705 2316.6207 2330.5709
 [79,] 2292.2508 2306.7142 2321.1775 2335.6409 2350.1043 2364.5677 2379.0310
 [80,] 2338.2940 2353.2792 2368.2645 2383.2497 2398.2350 2413.2202 2428.2054
 [81,] 2384.9994 2400.5152 2416.0310 2431.5467 2447.0625 2462.5783 2478.0941
 [82,] 2432.3669 2448.4219 2464.4770 2480.5320 2496.5870 2512.6420 2528.6971
 [83,] 2480.3966 2496.9996 2513.6025 2530.2054 2546.8084 2563.4113 2580.0142
 [84,] 2529.0885 2546.2481 2563.4076 2580.5671 2597.7266 2614.8862 2632.0457
 [85,] 2578.4426 2596.1674 2613.8922 2631.6170 2649.3418 2667.0666 2684.7914
 [86,] 2628.4588 2646.7576 2665.0563 2683.3551 2701.6538 2719.9526 2738.2513
 [87,] 2679.1372 2698.0186 2716.9000 2735.7814 2754.6628 2773.5442 2792.4256
 [88,] 2730.4778 2749.9505 2769.4232 2788.8959 2808.3686 2827.8413 2847.3140
 [89,] 2782.4805 2802.5532 2822.6259 2842.6986 2862.7713 2882.8440 2902.9167
 [90,] 2835.1454 2855.8268 2876.5082 2897.1896 2917.8709 2938.5523 2959.2337
 [91,] 2888.4725 2909.7712 2931.0700 2952.3687 2973.6675 2994.9662 3016.2650
 [92,] 2942.4617 2964.3865 2986.3113 3008.2361 3030.1609 3052.0857 3074.0104
 [93,] 2997.1131 3019.6726 3042.2321 3064.7917 3087.3512 3109.9107 3132.4702
 [94,] 3052.4267 3075.6296 3098.8325 3122.0354 3145.2384 3168.4413 3191.6442
 [95,] 3108.4024 3132.2574 3156.1124 3179.9674 3203.8224 3227.6774 3251.5324
 [96,] 3165.0403 3189.5561 3214.0719 3238.5877 3263.1034 3287.6192 3312.1350
 [97,] 3222.3404 3247.5256 3272.7109 3297.8961 3323.0813 3348.2665 3373.4517
 [98,] 3280.3027 3306.1660 3332.0294 3357.8927 3383.7561 3409.6194 3435.4828
 [99,] 3338.9271 3365.4773 3392.0274 3418.5776 3445.1277 3471.6779 3498.2280
           [,99]
  [1,]  744.5524
  [2,]  737.8596
  [3,]  731.8897
  [4,]  726.6428
  [5,]  722.1188
  [6,]  718.3178
  [7,]  715.2397
  [8,]  712.8845
  [9,]  711.2523
 [10,]  710.3430
 [11,]  710.1567
 [12,]  710.6932
 [13,]  711.9528
 [14,]  713.9352
 [15,]  716.6406
 [16,]  720.0689
 [17,]  724.2202
 [18,]  729.0944
 [19,]  734.6915
 [20,]  741.0116
 [21,]  748.0546
 [22,]  755.8206
 [23,]  764.3095
 [24,]  773.5213
 [25,]  783.4561
 [26,]  794.1137
 [27,]  805.4944
 [28,]  817.5980
 [29,]  830.4245
 [30,]  843.9739
 [31,]  858.2463
 [32,]  873.2416
 [33,]  888.9599
 [34,]  905.4011
 [35,]  922.5652
 [36,]  940.4523
 [37,]  959.0623
 [38,]  978.3952
 [39,]  998.4511
 [40,] 1019.2299
 [41,] 1040.7316
 [42,] 1062.9563
 [43,] 1085.9040
 [44,] 1109.5745
 [45,] 1133.9680
 [46,] 1159.0844
 [47,] 1184.9238
 [48,] 1211.4861
 [49,] 1238.7714
 [50,] 1266.7796
 [51,] 1295.5107
 [52,] 1324.9647
 [53,] 1355.1417
 [54,] 1386.0417
 [55,] 1417.6645
 [56,] 1450.0103
 [57,] 1483.0791
 [58,] 1516.8707
 [59,] 1551.3854
 [60,] 1586.6229
 [61,] 1622.5834
 [62,] 1659.2668
 [63,] 1696.6732
 [64,] 1734.8025
 [65,] 1773.6547
 [66,] 1813.2299
 [67,] 1853.5280
 [68,] 1894.5491
 [69,] 1936.2930
 [70,] 1978.7600
 [71,] 2021.9498
 [72,] 2065.8626
 [73,] 2110.4983
 [74,] 2155.8570
 [75,] 2201.9386
 [76,] 2248.7432
 [77,] 2296.2706
 [78,] 2344.5210
 [79,] 2393.4944
 [80,] 2443.1907
 [81,] 2493.6099
 [82,] 2544.7521
 [83,] 2596.6172
 [84,] 2649.2052
 [85,] 2702.5162
 [86,] 2756.5501
 [87,] 2811.3069
 [88,] 2866.7867
 [89,] 2922.9894
 [90,] 2979.9151
 [91,] 3037.5637
 [92,] 3095.9352
 [93,] 3155.0297
 [94,] 3214.8471
 [95,] 3275.3874
 [96,] 3336.6507
 [97,] 3398.6369
 [98,] 3461.3461
 [99,] 3524.7782

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "arain_tot"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc
1      0      2     5       0        0

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_2012_v <- visreg2d(baseline_quad_inter_2012, "N_kgha", "arain_tot",ylab="Rainfall (mm)",xlab="Nitrogen (kg per ha)", main="2012")

baseline_quad_inter_2012_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  425.9712  448.2806  470.5899  492.8992  515.2086  537.5179  559.8272
 [8]  582.1366  604.4459  626.7552  649.0646  671.3739  693.6832  715.9926
[15]  738.3019  760.6112  782.9206  805.2299  827.5392  849.8486  872.1579
[22]  894.4672  916.7766  939.0859  961.3952  983.7046 1006.0139 1028.3232
[29] 1050.6326 1072.9419 1095.2512 1117.5606 1139.8699 1162.1792 1184.4886
[36] 1206.7979 1229.1072 1251.4166 1273.7259 1296.0352 1318.3446 1340.6539
[43] 1362.9632 1385.2726 1407.5819 1429.8912 1452.2006 1474.5099 1496.8192
[50] 1519.1286 1541.4379 1563.7472 1586.0566 1608.3659 1630.6752 1652.9846
[57] 1675.2939 1697.6032 1719.9126 1742.2219 1764.5312 1786.8406 1809.1499
[64] 1831.4592 1853.7686 1876.0779 1898.3872 1920.6966 1943.0059 1965.3152
[71] 1987.6246 2009.9339 2032.2432 2054.5526 2076.8619 2099.1712 2121.4806
[78] 2143.7899 2166.0992 2188.4086 2210.7179 2233.0272 2255.3366 2277.6459
[85] 2299.9552 2322.2646 2344.5739 2366.8832 2389.1926 2411.5019 2433.8112
[92] 2456.1206 2478.4299 2500.7392 2523.0486 2545.3579 2567.6672 2589.9766
[99] 2612.2859

$z
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  627.5103  629.0685  630.6268  632.1850  633.7433  635.3016  636.8598
  [2,]  642.3504  643.8225  645.2946  646.7667  648.2387  649.7108  651.1829
  [3,]  657.0354  658.4286  659.8218  661.2151  662.6083  664.0015  665.3947
  [4,]  671.5652  672.8869  674.2086  675.5303  676.8519  678.1736  679.4953
  [5,]  685.9400  687.1974  688.4548  689.7123  690.9697  692.2271  693.4845
  [6,]  700.1596  701.3601  702.5606  703.7610  704.9615  706.1620  707.3625
  [7,]  714.2241  715.3749  716.5258  717.6766  718.8275  719.9783  721.1292
  [8,]  728.1334  729.2419  730.3505  731.4590  732.5675  733.6760  734.7846
  [9,]  741.8876  742.9611  744.0346  745.1081  746.1817  747.2552  748.3287
 [10,]  755.4867  756.5325  757.5783  758.6241  759.6699  760.7157  761.7615
 [11,]  768.9307  769.9561  770.9815  772.0069  773.0322  774.0576  775.0830
 [12,]  782.2195  783.2318  784.2441  785.2564  786.2687  787.2810  788.2933
 [13,]  795.3532  796.3597  797.3662  798.3727  799.3792  800.3857  801.3922
 [14,]  808.3318  809.3398  810.3478  811.3559  812.3639  813.3719  814.3799
 [15,]  821.1552  822.1721  823.1889  824.2058  825.2226  826.2395  827.2563
 [16,]  833.8235  834.8565  835.8895  836.9225  837.9555  838.9885  840.0214
 [17,]  846.3367  847.3931  848.4496  849.5060  850.5624  851.6188  852.6753
 [18,]  858.6948  859.7819  860.8691  861.9563  863.0435  864.1306  865.2178
 [19,]  870.8977  872.0229  873.1481  874.2734  875.3986  876.5238  877.6491
 [20,]  882.9455  884.1161  885.2867  886.4573  887.6279  888.7985  889.9691
 [21,]  894.8381  896.0614  897.2847  898.5079  899.7312  900.9545  902.1777
 [22,]  906.5757  907.8589  909.1422  910.4254  911.7087  912.9919  914.2752
 [23,]  918.1581  919.5086  920.8591  922.2097  923.5602  924.9107  926.2613
 [24,]  929.5853  931.0105  932.4356  933.8607  935.2859  936.7110  938.1361
 [25,]  940.8575  942.3645  943.8715  945.3786  946.8856  948.3926  949.8997
 [26,]  951.9745  953.5707  955.1670  956.7632  958.3595  959.9557  961.5519
 [27,]  962.9363  964.6291  966.3219  968.0146  969.7074  971.4002  973.0929
 [28,]  973.7431  975.5397  977.3363  979.1329  980.9295  982.7260  984.5226
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            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
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           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
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 [26,]  974.3219  975.9182  977.5144  979.1107  980.7069  982.3031  983.8994
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           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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 [16,]  855.5162  856.5492  857.5822  858.6152  859.6482  860.6811  861.7141
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 [24,]  959.5131  960.9383  962.3634  963.7885  965.2137  966.6388  968.0639
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 [28,] 1011.4715 1013.2681 1015.0647 1016.8612 1018.6578 1020.4544 1022.2510
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 [33,] 1076.3818 1078.8072 1081.2325 1083.6578 1086.0832 1088.5085 1090.9338
 [34,] 1089.3589 1091.9319 1094.5049 1097.0779 1099.6509 1102.2239 1104.7969
 [35,] 1102.3343 1105.0623 1107.7902 1110.5182 1113.2462 1115.9742 1118.7022
 [36,] 1115.3080 1118.1983 1121.0885 1123.9788 1126.8691 1129.7593 1132.6496
 [37,] 1128.2800 1131.3399 1134.3998 1137.4596 1140.5195 1143.5793 1146.6392
 [38,] 1141.2504 1144.4872 1147.7239 1150.9607 1154.1975 1157.4342 1160.6710
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 [40,] 1167.1862 1170.7986 1174.4111 1178.0236 1181.6361 1185.2486 1188.8611
 [41,] 1180.1515 1183.9628 1187.7741 1191.5854 1195.3968 1199.2081 1203.0194
 [42,] 1193.1152 1197.1327 1201.1501 1205.1675 1209.1850 1213.2024 1217.2199
 [43,] 1206.0772 1210.3081 1214.5390 1218.7699 1223.0008 1227.2316 1231.4625
 [44,] 1219.0376 1223.4892 1227.9408 1232.3925 1236.8441 1241.2957 1245.7473
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 [46,] 1244.9533 1249.8683 1254.7834 1259.6984 1264.6134 1269.5285 1274.4435
 [47,] 1257.9086 1263.0663 1268.2240 1273.3817 1278.5395 1283.6972 1288.8549
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 [50,] 1296.7646 1302.6942 1308.6237 1314.5533 1320.4829 1326.4124 1332.3420
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 [52,] 1322.6602 1329.1409 1335.6216 1342.1023 1348.5829 1355.0636 1361.5443
 [53,] 1335.6056 1342.3727 1349.1399 1355.9071 1362.6743 1369.4415 1376.2087
 [54,] 1348.5492 1355.6102 1362.6712 1369.7322 1376.7932 1383.8543 1390.9153
 [55,] 1361.4912 1368.8533 1376.2155 1383.5776 1390.9397 1398.3019 1405.6640
 [56,] 1374.4315 1382.1020 1389.7726 1397.4432 1405.1138 1412.7844 1420.4549
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 [61,] 1439.1079 1448.4303 1457.7527 1467.0751 1476.3974 1485.7198 1495.0422
 [62,] 1452.0382 1461.7129 1471.3875 1481.0622 1490.7369 1500.4115 1510.0862
 [63,] 1464.9668 1475.0011 1485.0353 1495.0696 1505.1038 1515.1381 1525.1723
 [64,] 1477.8937 1488.2949 1498.6960 1509.0972 1519.4984 1529.8995 1540.3007
 [65,] 1490.8190 1501.5944 1512.3697 1523.1451 1533.9204 1544.6958 1555.4712
 [66,] 1503.7426 1514.8995 1526.0563 1537.2132 1548.3701 1559.5270 1570.6838
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 [68,] 1529.5848 1541.5266 1553.4684 1565.4102 1577.3521 1589.2939 1601.2357
 [69,] 1542.5034 1554.8486 1567.1939 1579.5391 1591.8844 1604.2297 1616.5749
 [70,] 1555.4203 1568.1763 1580.9323 1593.6883 1606.4443 1619.2003 1631.9563
 [71,] 1568.3355 1581.5096 1594.6836 1607.8577 1621.0317 1634.2058 1647.3798
 [72,] 1581.2491 1594.8485 1608.4479 1622.0473 1635.6467 1649.2461 1662.8456
 [73,] 1594.1610 1608.1931 1622.2251 1636.2572 1650.2893 1664.3214 1678.3535
 [74,] 1607.0712 1621.5433 1636.0153 1650.4874 1664.9594 1679.4315 1693.9035
 [75,] 1619.9798 1634.8991 1649.8184 1664.7378 1679.6571 1694.5764 1709.4958
 [76,] 1632.8866 1648.2606 1663.6345 1679.0084 1694.3823 1709.7563 1725.1302
 [77,] 1645.7919 1661.6277 1677.4635 1693.2993 1709.1351 1724.9710 1740.8068
 [78,] 1658.6954 1675.0004 1691.3055 1707.6105 1723.9155 1740.2205 1756.5256
 [79,] 1671.5973 1688.3788 1705.1604 1721.9419 1738.7234 1755.5050 1772.2865
 [80,] 1684.4975 1701.7628 1719.0282 1736.2936 1753.5589 1770.8243 1788.0896
 [81,] 1697.3960 1715.1525 1732.9090 1750.6655 1768.4220 1786.1784 1803.9349
 [82,] 1710.2929 1728.5478 1746.8027 1765.0576 1783.3126 1801.5675 1819.8224
 [83,] 1723.1881 1741.9487 1760.7094 1779.4701 1798.2307 1816.9914 1835.7520
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 [85,] 1748.9734 1768.7675 1788.5616 1808.3556 1828.1497 1847.9438 1867.7379
 [86,] 1761.8636 1782.1853 1802.5071 1822.8288 1843.1506 1863.4723 1883.7940
 [87,] 1774.7521 1795.6088 1816.4655 1837.3222 1858.1790 1879.0357 1899.8924
 [88,] 1787.6390 1809.0379 1830.4369 1851.8359 1873.2349 1894.6339 1916.0329
 [89,] 1800.5241 1822.4727 1844.4213 1866.3699 1888.3184 1910.2670 1932.2156
 [90,] 1813.4076 1835.9131 1858.4186 1880.9240 1903.4295 1925.9350 1948.4405
 [91,] 1826.2894 1849.3591 1872.4288 1895.4985 1918.5682 1941.6378 1964.7075
 [92,] 1839.1696 1862.8108 1886.4520 1910.0932 1933.7343 1957.3755 1981.0167
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 [94,] 1864.9249 1889.7310 1914.5372 1939.3433 1964.1494 1988.9556 2013.7617
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 [98,] 1916.4154 1943.6391 1970.8629 1998.0866 2025.3103 2052.5340 2079.7577
 [99,] 1929.2839 1957.1303 1984.9766 2012.8230 2040.6694 2068.5158 2096.3621
           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
  [1,]  671.1417  672.6999  674.2582  675.8164  677.3747  678.9330  680.4912
  [2,]  683.5690  685.0411  686.5132  687.9853  689.4573  690.9294  692.4015
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  [6,]  733.7731  734.9736  736.1740  737.3745  738.5750  739.7755  740.9760
  [7,]  746.4478  747.5987  748.7495  749.9004  751.0512  752.2021  753.3529
  [8,]  759.1720  760.2805  761.3891  762.4976  763.6061  764.7146  765.8232
  [9,]  771.9457  773.0192  774.0927  775.1662  776.2397  777.3132  778.3867
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 [11,]  797.6416  798.6670  799.6923  800.7177  801.7431  802.7685  803.7939
 [12,]  810.5637  811.5760  812.5883  813.6006  814.6129  815.6252  816.6375
 [13,]  823.5353  824.5418  825.5483  826.5548  827.5614  828.5679  829.5744
 [14,]  836.5564  837.5645  838.5725  839.5805  840.5885  841.5966  842.6046
 [15,]  849.6270  850.6439  851.6607  852.6776  853.6944  854.7113  855.7281
 [16,]  862.7471  863.7801  864.8131  865.8461  866.8790  867.9120  868.9450
 [17,]  875.9167  876.9731  878.0295  879.0859  880.1424  881.1988  882.2552
 [18,]  889.1357  890.2229  891.3101  892.3972  893.4844  894.5716  895.6588
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 [20,]  915.7222  916.8928  918.0634  919.2340  920.4046  921.5752  922.7458
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 [23,]  955.9731  957.3237  958.6742  960.0247  961.3753  962.7258  964.0764
 [24,]  969.4891  970.9142  972.3393  973.7645  975.1896  976.6147  978.0399
 [25,]  983.0545  984.5615  986.0685  987.5756  989.0826  990.5897  992.0967
 [26,]  996.6694  998.2656  999.8619 1001.4581 1003.0544 1004.6506 1006.2468
 [27,] 1010.3337 1012.0265 1013.7193 1015.4120 1017.1048 1018.7976 1020.4903
 [28,] 1024.0476 1025.8442 1027.6408 1029.4374 1031.2340 1033.0306 1034.8271
 [29,] 1037.8109 1039.7187 1041.6264 1043.5341 1045.4418 1047.3496 1049.2573
 [30,] 1051.6238 1053.6499 1055.6761 1057.7023 1059.7284 1061.7546 1063.7808
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 [52,] 1368.0250 1374.5056 1380.9863 1387.4670 1393.9477 1400.4283 1406.9090
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 [76,] 1740.5041 1755.8781 1771.2520 1786.6259 1801.9998 1817.3738 1832.7477
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 [78,] 1772.8306 1789.1356 1805.4407 1821.7457 1838.0507 1854.3557 1870.6608
 [79,] 1789.0681 1805.8496 1822.6311 1839.4127 1856.1942 1872.9758 1889.7573
 [80,] 1805.3550 1822.6204 1839.8857 1857.1511 1874.4164 1891.6818 1908.9472
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 [82,] 1838.0773 1856.3322 1874.5872 1892.8421 1911.0970 1929.3519 1947.6069
 [83,] 1854.5127 1873.2734 1892.0340 1910.7947 1929.5554 1948.3160 1967.0767
 [84,] 1870.9976 1890.2713 1909.5450 1928.8187 1948.0924 1967.3662 1986.6399
 [85,] 1887.5319 1907.3260 1927.1201 1946.9142 1966.7082 1986.5023 2006.2964
 [86,] 1904.1158 1924.4375 1944.7592 1965.0810 1985.4027 2005.7245 2026.0462
 [87,] 1920.7491 1941.6058 1962.4625 1983.3192 2004.1759 2025.0326 2045.8893
 [88,] 1937.4319 1958.8309 1980.2299 2001.6289 2023.0278 2044.4268 2065.8258
 [89,] 1954.1642 1976.1127 1998.0613 2020.0099 2041.9585 2063.9071 2085.8556
 [90,] 1970.9459 1993.4514 2015.9569 2038.4624 2060.9678 2083.4733 2105.9788
 [91,] 1987.7772 2010.8469 2033.9165 2056.9862 2080.0559 2103.1256 2126.1952
 [92,] 2004.6579 2028.2991 2051.9403 2075.5815 2099.2227 2122.8638 2146.5050
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           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
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  [8,]  766.9317  768.0402  769.1487  770.2572  771.3658  772.4743  773.5828
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 [10,]  792.0894  793.1352  794.1810  795.2268  796.2726  797.3184  798.3642
 [11,]  804.8193  805.8447  806.8701  807.8955  808.9208  809.9462  810.9716
 [12,]  817.6498  818.6621  819.6743  820.6866  821.6989  822.7112  823.7235
 [13,]  830.5809  831.5874  832.5939  833.6004  834.6069  835.6134  836.6199
 [14,]  843.6126  844.6206  845.6287  846.6367  847.6447  848.6527  849.6608
 [15,]  856.7450  857.7618  858.7787  859.7955  860.8124  861.8292  862.8461
 [16,]  869.9780  871.0110  872.0440  873.0770  874.1099  875.1429  876.1759
 [17,]  883.3117  884.3681  885.4245  886.4809  887.5374  888.5938  889.6502
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 [21,]  937.6526  938.8759  940.0991  941.3224  942.5457  943.7690  944.9922
 [22,]  951.4894  952.7727  954.0559  955.3392  956.6224  957.9057  959.1889
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 [24,]  979.4650  980.8901  982.3153  983.7404  985.1655  986.5907  988.0158
 [25,]  993.6037  995.1108  996.6178  998.1248  999.6319 1001.1389 1002.6459
 [26,] 1007.8431 1009.4393 1011.0356 1012.6318 1014.2281 1015.8243 1017.4206
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 [28,] 1036.6237 1038.4203 1040.2169 1042.0135 1043.8101 1045.6067 1047.4033
 [29,] 1051.1650 1053.0727 1054.9805 1056.8882 1058.7959 1060.7036 1062.6113
 [30,] 1065.8069 1067.8331 1069.8592 1071.8854 1073.9116 1075.9377 1077.9639
 [31,] 1080.5495 1082.7014 1084.8533 1087.0052 1089.1571 1091.3090 1093.4609
 [32,] 1095.3926 1097.6776 1099.9626 1102.2475 1104.5325 1106.8175 1109.1024
 [33,] 1110.3365 1112.7618 1115.1871 1117.6124 1120.0378 1122.4631 1124.8884
 [34,] 1125.3809 1127.9539 1130.5269 1133.0999 1135.6729 1138.2459 1140.8189
 [35,] 1140.5260 1143.2540 1145.9820 1148.7099 1151.4379 1154.1659 1156.8939
 [36,] 1155.7717 1158.6620 1161.5522 1164.4425 1167.3328 1170.2230 1173.1133
 [37,] 1171.1181 1174.1779 1177.2378 1180.2977 1183.3575 1186.4174 1189.4772
 [38,] 1186.5651 1189.8018 1193.0386 1196.2753 1199.5121 1202.7489 1205.9856
 [39,] 1202.1127 1205.5337 1208.9546 1212.3756 1215.7966 1219.2175 1222.6385
 [40,] 1217.7610 1221.3734 1224.9859 1228.5984 1232.2109 1235.8234 1239.4359
 [41,] 1233.5099 1237.3212 1241.1325 1244.9438 1248.7551 1252.5664 1256.3777
 [42,] 1249.3594 1253.3768 1257.3943 1261.4117 1265.4292 1269.4466 1273.4640
 [43,] 1265.3096 1269.5404 1273.7713 1278.0022 1282.2331 1286.4640 1290.6948
 [44,] 1281.3604 1285.8120 1290.2636 1294.7152 1299.1669 1303.6185 1308.0701
 [45,] 1297.5118 1302.1915 1306.8712 1311.5509 1316.2305 1320.9102 1325.5899
 [46,] 1313.7639 1318.6789 1323.5940 1328.5090 1333.4241 1338.3391 1343.2541
 [47,] 1330.1166 1335.2743 1340.4320 1345.5897 1350.7474 1355.9052 1361.0629
 [48,] 1346.5699 1351.9776 1357.3853 1362.7930 1368.2007 1373.6084 1379.0161
 [49,] 1363.1239 1368.7889 1374.4539 1380.1188 1385.7838 1391.4488 1397.1138
 [50,] 1379.7785 1385.7081 1391.6377 1397.5672 1403.4968 1409.4264 1415.3559
 [51,] 1396.5338 1402.7353 1408.9367 1415.1382 1421.3397 1427.5411 1433.7426
 [52,] 1413.3897 1419.8704 1426.3510 1432.8317 1439.3124 1445.7931 1452.2737
 [53,] 1430.3462 1437.1134 1443.8806 1450.6478 1457.4150 1464.1822 1470.9493
 [54,] 1447.4034 1454.4644 1461.5254 1468.5864 1475.6474 1482.7084 1489.7694
 [55,] 1464.5612 1471.9233 1479.2854 1486.6476 1494.0097 1501.3719 1508.7340
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 [57,] 1499.1787 1507.1650 1515.1513 1523.1376 1531.1240 1539.1103 1547.0966
 [58,] 1516.6384 1524.9477 1533.2571 1541.5665 1549.8759 1558.1852 1566.4946
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 [60,] 1551.8597 1560.8371 1569.8145 1578.7919 1587.7693 1596.7467 1605.7241
 [61,] 1569.6213 1578.9436 1588.2660 1597.5884 1606.9108 1616.2332 1625.5556
 [62,] 1587.4835 1597.1582 1606.8328 1616.5075 1626.1822 1635.8568 1645.5315
 [63,] 1605.4464 1615.4806 1625.5149 1635.5492 1645.5834 1655.6177 1665.6519
 [64,] 1623.5099 1633.9111 1644.3122 1654.7134 1665.1145 1675.5157 1685.9168
 [65,] 1641.6740 1652.4494 1663.2248 1674.0001 1684.7755 1695.5508 1706.3262
 [66,] 1659.9388 1671.0957 1682.2526 1693.4095 1704.5663 1715.7232 1726.8801
 [67,] 1678.3042 1689.8499 1701.3956 1712.9413 1724.4870 1736.0327 1747.5784
 [68,] 1696.7703 1708.7121 1720.6540 1732.5958 1744.5376 1756.4794 1768.4212
 [69,] 1715.3370 1727.6823 1740.0275 1752.3728 1764.7180 1777.0633 1789.4086
 [70,] 1734.0043 1746.7603 1759.5163 1772.2723 1785.0283 1797.7843 1810.5403
 [71,] 1752.7723 1765.9463 1779.1204 1792.2944 1805.4685 1818.6426 1831.8166
 [72,] 1771.6409 1785.2403 1798.8397 1812.4391 1826.0385 1839.6379 1853.2374
 [73,] 1790.6101 1804.6422 1818.6743 1832.7063 1846.7384 1860.7705 1874.8026
 [74,] 1809.6800 1824.1520 1838.6241 1853.0961 1867.5682 1882.0402 1896.5123
 [75,] 1828.8505 1843.7698 1858.6891 1873.6085 1888.5278 1903.4472 1918.3665
 [76,] 1848.1216 1863.4955 1878.8695 1894.2434 1909.6173 1924.9912 1940.3652
 [77,] 1867.4934 1883.3292 1899.1650 1915.0009 1930.8367 1946.6725 1962.5083
 [78,] 1886.9658 1903.2708 1919.5758 1935.8809 1952.1859 1968.4909 1984.7960
 [79,] 1906.5388 1923.3204 1940.1019 1956.8835 1973.6650 1990.4465 2007.2281
 [80,] 1926.2125 1943.4779 1960.7432 1978.0086 1995.2740 2012.5393 2029.8047
 [81,] 1945.9868 1963.7433 1981.4998 1999.2563 2017.0128 2034.7693 2052.5257
 [82,] 1965.8618 1984.1167 2002.3716 2020.6265 2038.8815 2057.1364 2075.3913
 [83,] 1985.8374 2004.5980 2023.3587 2042.1194 2060.8800 2079.6407 2098.4013
 [84,] 2005.9136 2025.1873 2044.4610 2063.7347 2083.0084 2102.2822 2121.5559
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 [91,] 2149.2649 2172.3346 2195.4043 2218.4739 2241.5436 2264.6133 2287.6830
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           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
  [1,]  692.9574  694.5156  696.0739  697.6321  699.1904  700.7487  702.3069
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  [7,]  762.5597  763.7105  764.8614  766.0122  767.1631  768.3139  769.4648
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 [12,]  824.7358  825.7481  826.7604  827.7727  828.7850  829.7973  830.8096
 [13,]  837.6264  838.6329  839.6394  840.6459  841.6524  842.6589  843.6654
 [14,]  850.6688  851.6768  852.6848  853.6928  854.7009  855.7089  856.7169
 [15,]  863.8629  864.8798  865.8966  866.9135  867.9303  868.9472  869.9640
 [16,]  877.2089  878.2419  879.2749  880.3079  881.3408  882.3738  883.4068
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           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
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 [34,] 1161.4029 1163.9759 1166.5489 1169.1219 1171.6949 1174.2679 1176.8409
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 [43,] 1324.5419 1328.7728 1333.0037 1337.2345 1341.4654 1345.6963 1349.9272
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 [45,] 1363.0274 1367.7070 1372.3867 1377.0664 1381.7461 1386.4258 1391.1054
 [46,] 1382.5745 1387.4895 1392.4046 1397.3196 1402.2347 1407.1497 1412.0648
 [47,] 1402.3246 1407.4823 1412.6400 1417.7977 1422.9554 1428.1131 1433.2709
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 [63,] 1745.9260 1755.9602 1765.9945 1776.0287 1786.0630 1796.0973 1806.1315
 [64,] 1769.1261 1779.5272 1789.9284 1800.3295 1810.7307 1821.1318 1831.5330
 [65,] 1792.5291 1803.3045 1814.0798 1824.8552 1835.6305 1846.4059 1857.1813
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 [68,] 1863.9558 1875.8977 1887.8395 1899.7813 1911.7231 1923.6650 1935.6068
 [69,] 1888.1706 1900.5159 1912.8612 1925.2064 1937.5517 1949.8969 1962.2422
 [70,] 1912.5884 1925.3444 1938.1004 1950.8564 1963.6124 1976.3684 1989.1244
 [71,] 1937.2091 1950.3831 1963.5572 1976.7312 1989.9053 2003.0793 2016.2534
 [72,] 1962.0327 1975.6321 1989.2315 2002.8309 2016.4303 2030.0297 2043.6292
 [73,] 1987.0592 2001.0913 2015.1234 2029.1555 2043.1876 2057.2196 2071.2517
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           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
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           [,78]     [,79]     [,80]     [,81]     [,82]     [,83]     [,84]
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           [,85]     [,86]     [,87]     [,88]     [,89]     [,90]     [,91]
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 [12,]  867.2521  868.2644  869.2767  870.2890  871.3013  872.3136  873.3259
 [13,]  879.8996  880.9061  881.9126  882.9191  883.9256  884.9321  885.9386
 [14,]  893.0058  894.0138  895.0218  896.0298  897.0379  898.0459  899.0539
 [15,]  906.5707  907.5875  908.6044  909.6212  910.6381  911.6549  912.6718
 [16,]  920.5943  921.6272  922.6602  923.6932  924.7262  925.7592  926.7922
 [17,]  935.0766  936.1330  937.1894  938.2459  939.3023  940.3587  941.4151
 [18,]  950.0176  951.1048  952.1919  953.2791  954.3663  955.4535  956.5406
 [19,]  965.4173  966.5425  967.6678  968.7930  969.9182  971.0435  972.1687
 [20,]  981.2757  982.4463  983.6169  984.7875  985.9581  987.1287  988.2993
 [21,]  997.5929  998.8161 1000.0394 1001.2627 1002.4860 1003.7092 1004.9325
 [22,] 1014.3687 1015.6520 1016.9352 1018.2185 1019.5017 1020.7850 1022.0682
 [23,] 1031.6033 1032.9538 1034.3043 1035.6549 1037.0054 1038.3560 1039.7065
 [24,] 1049.2965 1050.7217 1052.1468 1053.5719 1054.9971 1056.4222 1057.8473
 [25,] 1067.4485 1068.9555 1070.4626 1071.9696 1073.4766 1074.9837 1076.4907
 [26,] 1086.0592 1087.6554 1089.2517 1090.8479 1092.4441 1094.0404 1095.6366
 [27,] 1105.1285 1106.8213 1108.5141 1110.2068 1111.8996 1113.5924 1115.2851
 [28,] 1124.6566 1126.4532 1128.2498 1130.0464 1131.8430 1133.6396 1135.4362
 [29,] 1144.6434 1146.5511 1148.4589 1150.3666 1152.2743 1154.1820 1156.0897
 [30,] 1165.0889 1167.1151 1169.1412 1171.1674 1173.1936 1175.2197 1177.2459
 [31,] 1185.9931 1188.1450 1190.2969 1192.4489 1194.6008 1196.7527 1198.9046
 [32,] 1207.3560 1209.6410 1211.9260 1214.2109 1216.4959 1218.7809 1221.0658
 [33,] 1229.1776 1231.6030 1234.0283 1236.4536 1238.8790 1241.3043 1243.7296
 [34,] 1251.4580 1254.0310 1256.6040 1259.1770 1261.7500 1264.3230 1266.8960
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 [36,] 1297.3947 1300.2850 1303.1753 1306.0655 1308.9558 1311.8461 1314.7363
 [37,] 1321.0512 1324.1111 1327.1709 1330.2308 1333.2906 1336.3505 1339.4104
 [38,] 1345.1663 1348.4031 1351.6399 1354.8766 1358.1134 1361.3502 1364.5869
 [39,] 1369.7402 1373.1612 1376.5821 1380.0031 1383.4241 1386.8451 1390.2660
 [40,] 1394.7728 1398.3853 1401.9977 1405.6102 1409.2227 1412.8352 1416.4477
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 [43,] 1472.6227 1476.8536 1481.0845 1485.3154 1489.5462 1493.7771 1498.0080
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 [45,] 1526.8162 1531.4959 1536.1756 1540.8553 1545.5349 1550.2146 1554.8943
 [46,] 1554.6010 1559.5161 1564.4311 1569.3462 1574.2612 1579.1762 1584.0913
 [47,] 1582.8445 1588.0023 1593.1600 1598.3177 1603.4754 1608.6331 1613.7908
 [48,] 1611.5468 1616.9545 1622.3621 1627.7698 1633.1775 1638.5852 1643.9929
 [49,] 1640.7077 1646.3727 1652.0376 1657.7026 1663.3676 1669.0326 1674.6975
 [50,] 1670.3273 1676.2569 1682.1865 1688.1160 1694.0456 1699.9752 1705.9047
 [51,] 1700.4057 1706.6071 1712.8086 1719.0101 1725.2115 1731.4130 1737.6145
 [52,] 1730.9427 1737.4234 1743.9041 1750.3847 1756.8654 1763.3461 1769.8268
 [53,] 1761.9385 1768.7057 1775.4729 1782.2401 1789.0072 1795.7744 1802.5416
 [54,] 1793.3929 1800.4540 1807.5150 1814.5760 1821.6370 1828.6980 1835.7590
 [55,] 1825.3061 1832.6683 1840.0304 1847.3925 1854.7547 1862.1168 1869.4790
 [56,] 1857.6780 1865.3486 1873.0192 1880.6897 1888.3603 1896.0309 1903.7015
 [57,] 1890.5086 1898.4949 1906.4812 1914.4676 1922.4539 1930.4402 1938.4265
 [58,] 1923.7979 1932.1073 1940.4166 1948.7260 1957.0354 1965.3448 1973.6541
 [59,] 1957.5459 1966.1856 1974.8253 1983.4651 1992.1048 2000.7446 2009.3843
 [60,] 1991.7526 2000.7300 2009.7074 2018.6848 2027.6622 2036.6396 2045.6170
 [61,] 2026.4180 2035.7404 2045.0628 2054.3851 2063.7075 2073.0299 2082.3523
 [62,] 2061.5421 2071.2168 2080.8914 2090.5661 2100.2408 2109.9154 2119.5901
 [63,] 2097.1249 2107.1592 2117.1934 2127.2277 2137.2620 2147.2962 2157.3305
 [64,] 2133.1665 2143.5676 2153.9688 2164.3699 2174.7711 2185.1722 2195.5734
 [65,] 2169.6667 2180.4421 2191.2174 2201.9928 2212.7681 2223.5435 2234.3189
 [66,] 2206.6257 2217.7825 2228.9394 2240.0963 2251.2532 2262.4100 2273.5669
 [67,] 2244.0433 2255.5890 2267.1347 2278.6804 2290.2261 2301.7718 2313.3175
 [68,] 2281.9197 2293.8615 2305.8033 2317.7451 2329.6870 2341.6288 2353.5706
 [69,] 2320.2547 2332.6000 2344.9453 2357.2905 2369.6358 2381.9810 2394.3263
 [70,] 2359.0485 2371.8045 2384.5605 2397.3165 2410.0725 2422.8285 2435.5845
 [71,] 2398.3010 2411.4750 2424.6491 2437.8232 2450.9972 2464.1713 2477.3453
 [72,] 2438.0122 2451.6116 2465.2110 2478.8104 2492.4098 2506.0093 2519.6087
 [73,] 2478.1821 2492.2142 2506.2462 2520.2783 2534.3104 2548.3425 2562.3746
 [74,] 2518.8107 2533.2827 2547.7548 2562.2268 2576.6989 2591.1710 2605.6430
 [75,] 2559.8980 2574.8173 2589.7367 2604.6560 2619.5753 2634.4947 2649.4140
 [76,] 2601.4440 2616.8179 2632.1919 2647.5658 2662.9397 2678.3136 2693.6876
 [77,] 2643.4487 2659.2846 2675.1204 2690.9562 2706.7920 2722.6278 2738.4637
 [78,] 2685.9122 2702.2172 2718.5222 2734.8272 2751.1323 2767.4373 2783.7423
 [79,] 2728.8343 2745.6158 2762.3974 2779.1789 2795.9605 2812.7420 2829.5235
 [80,] 2772.2151 2789.4805 2806.7459 2824.0112 2841.2766 2858.5419 2875.8073
 [81,] 2816.0547 2833.8112 2851.5677 2869.3241 2887.0806 2904.8371 2922.5936
 [82,] 2860.3529 2878.6079 2896.8628 2915.1177 2933.3726 2951.6276 2969.8825
 [83,] 2905.1099 2923.8706 2942.6312 2961.3919 2980.1526 2998.9132 3017.6739
 [84,] 2950.3256 2969.5993 2988.8730 3008.1467 3027.4204 3046.6942 3065.9679
 [85,] 2996.0000 3015.7940 3035.5881 3055.3822 3075.1762 3094.9703 3114.7644
 [86,] 3042.1330 3062.4548 3082.7765 3103.0983 3123.4200 3143.7417 3164.0635
 [87,] 3088.7248 3109.5815 3130.4383 3151.2950 3172.1517 3193.0084 3213.8651
 [88,] 3135.7753 3157.1743 3178.5733 3199.9723 3221.3713 3242.7703 3264.1693
 [89,] 3183.2845 3205.2331 3227.1817 3249.1303 3271.0789 3293.0274 3314.9760
 [90,] 3231.2525 3253.7579 3276.2634 3298.7689 3321.2743 3343.7798 3366.2853
 [91,] 3279.6791 3302.7487 3325.8184 3348.8881 3371.9578 3395.0275 3418.0971
 [92,] 3328.5644 3352.2056 3375.8468 3399.4880 3423.1291 3446.7703 3470.4115
 [93,] 3377.9084 3402.1284 3426.3484 3450.5684 3474.7885 3499.0085 3523.2285
 [94,] 3427.7112 3452.5173 3477.3234 3502.1296 3526.9357 3551.7418 3576.5480
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 [96,] 3528.6928 3554.6931 3580.6934 3606.6937 3632.6940 3658.6943 3684.6946
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 [98,] 3631.5092 3658.7329 3685.9566 3713.1803 3740.4040 3767.6278 3794.8515
 [99,] 3683.6055 3711.4519 3739.2982 3767.1446 3794.9910 3822.8373 3850.6837
           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
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  [2,]  776.3108  777.7829  779.2550  780.7271  782.1992  783.6713  785.1434
  [3,]  783.8192  785.2124  786.6056  787.9989  789.3921  790.7853  792.1785
  [4,]  791.8374  793.1591  794.4807  795.8024  797.1241  798.4458  799.7674
  [5,]  800.3655  801.6229  802.8803  804.1378  805.3952  806.6526  807.9100
  [6,]  809.4034  810.6039  811.8044  813.0049  814.2054  815.4058  816.6063
  [7,]  818.9512  820.1021  821.2529  822.4038  823.5546  824.7055  825.8563
  [8,]  829.0089  830.1174  831.2259  832.3345  833.4430  834.5515  835.6600
  [9,]  839.5764  840.6499  841.7234  842.7969  843.8704  844.9439  846.0174
 [10,]  850.6538  851.6996  852.7454  853.7912  854.8370  855.8828  856.9286
 [11,]  862.2410  863.2664  864.2918  865.3172  866.3426  867.3680  868.3934
 [12,]  874.3381  875.3504  876.3627  877.3750  878.3873  879.3996  880.4119
 [13,]  886.9451  887.9516  888.9581  889.9646  890.9711  891.9776  892.9841
 [14,]  900.0619  901.0700  902.0780  903.0860  904.0940  905.1020  906.1101
 [15,]  913.6886  914.7055  915.7223  916.7392  917.7560  918.7729  919.7897
 [16,]  927.8252  928.8581  929.8911  930.9241  931.9571  932.9901  934.0231
 [17,]  942.4716  943.5280  944.5844  945.6408  946.6973  947.7537  948.8101
 [18,]  957.6278  958.7150  959.8022  960.8894  961.9765  963.0637  964.1509
 [19,]  973.2939  974.4192  975.5444  976.6696  977.7949  978.9201  980.0453
 [20,]  989.4699  990.6405  991.8111  992.9817  994.1523  995.3229  996.4935
 [21,] 1006.1558 1007.3790 1008.6023 1009.8256 1011.0489 1012.2721 1013.4954
 [22,] 1023.3515 1024.6347 1025.9180 1027.2012 1028.4845 1029.7677 1031.0510
 [23,] 1041.0570 1042.4076 1043.7581 1045.1087 1046.4592 1047.8097 1049.1603
 [24,] 1059.2725 1060.6976 1062.1227 1063.5479 1064.9730 1066.3981 1067.8233
 [25,] 1077.9977 1079.5048 1081.0118 1082.5188 1084.0259 1085.5329 1087.0400
 [26,] 1097.2329 1098.8291 1100.4254 1102.0216 1103.6179 1105.2141 1106.8104
 [27,] 1116.9779 1118.6707 1120.3634 1122.0562 1123.7489 1125.4417 1127.1345
 [28,] 1137.2327 1139.0293 1140.8259 1142.6225 1144.4191 1146.2157 1148.0123
 [29,] 1157.9975 1159.9052 1161.8129 1163.7206 1165.6284 1167.5361 1169.4438
 [30,] 1179.2721 1181.2982 1183.3244 1185.3505 1187.3767 1189.4029 1191.4290
 [31,] 1201.0565 1203.2084 1205.3603 1207.5122 1209.6641 1211.8161 1213.9680
 [32,] 1223.3508 1225.6358 1227.9207 1230.2057 1232.4907 1234.7756 1237.0606
 [33,] 1246.1550 1248.5803 1251.0056 1253.4310 1255.8563 1258.2816 1260.7069
 [34,] 1269.4690 1272.0420 1274.6150 1277.1880 1279.7610 1282.3340 1284.9070
 [35,] 1293.2929 1296.0208 1298.7488 1301.4768 1304.2048 1306.9328 1309.6607
 [36,] 1317.6266 1320.5169 1323.4071 1326.2974 1329.1877 1332.0779 1334.9682
 [37,] 1342.4702 1345.5301 1348.5899 1351.6498 1354.7097 1357.7695 1360.8294
 [38,] 1367.8237 1371.0604 1374.2972 1377.5340 1380.7707 1384.0075 1387.2442
 [39,] 1393.6870 1397.1080 1400.5289 1403.9499 1407.3709 1410.7918 1414.2128
 [40,] 1420.0602 1423.6727 1427.2852 1430.8976 1434.5101 1438.1226 1441.7351
 [41,] 1446.9432 1450.7545 1454.5658 1458.3772 1462.1885 1465.9998 1469.8111
 [42,] 1474.3361 1478.3536 1482.3710 1486.3884 1490.4059 1494.4233 1498.4408
 [43,] 1502.2389 1506.4698 1510.7006 1514.9315 1519.1624 1523.3933 1527.6242
 [44,] 1530.6515 1535.1031 1539.5548 1544.0064 1548.4580 1552.9096 1557.3613
 [45,] 1559.5740 1564.2537 1568.9334 1573.6130 1578.2927 1582.9724 1587.6521
 [46,] 1589.0063 1593.9214 1598.8364 1603.7515 1608.6665 1613.5816 1618.4966
 [47,] 1618.9485 1624.1062 1629.2640 1634.4217 1639.5794 1644.7371 1649.8948
 [48,] 1649.4006 1654.8083 1660.2160 1665.6237 1671.0314 1676.4390 1681.8467
 [49,] 1680.3625 1686.0275 1691.6925 1697.3574 1703.0224 1708.6874 1714.3524
 [50,] 1711.8343 1717.7639 1723.6934 1729.6230 1735.5526 1741.4821 1747.4117
 [51,] 1743.8159 1750.0174 1756.2189 1762.4203 1768.6218 1774.8233 1781.0247
 [52,] 1776.3074 1782.7881 1789.2688 1795.7495 1802.2301 1808.7108 1815.1915
 [53,] 1809.3088 1816.0760 1822.8432 1829.6104 1836.3776 1843.1448 1849.9119
 [54,] 1842.8200 1849.8810 1856.9421 1864.0031 1871.0641 1878.1251 1885.1861
 [55,] 1876.8411 1884.2033 1891.5654 1898.9275 1906.2897 1913.6518 1921.0140
 [56,] 1911.3721 1919.0426 1926.7132 1934.3838 1942.0544 1949.7250 1957.3955
 [57,] 1946.4129 1954.3992 1962.3855 1970.3718 1978.3582 1986.3445 1994.3308
 [58,] 1981.9635 1990.2729 1998.5823 2006.8917 2015.2010 2023.5104 2031.8198
 [59,] 2018.0240 2026.6638 2035.3035 2043.9433 2052.5830 2061.2227 2069.8625
 [60,] 2054.5944 2063.5718 2072.5492 2081.5266 2090.5040 2099.4815 2108.4589
 [61,] 2091.6747 2100.9970 2110.3194 2119.6418 2128.9642 2138.2866 2147.6090
 [62,] 2129.2648 2138.9394 2148.6141 2158.2888 2167.9634 2177.6381 2187.3128
 [63,] 2167.3647 2177.3990 2187.4332 2197.4675 2207.5018 2217.5360 2227.5703
 [64,] 2205.9745 2216.3757 2226.7769 2237.1780 2247.5792 2257.9803 2268.3815
 [65,] 2245.0942 2255.8696 2266.6450 2277.4203 2288.1957 2298.9710 2309.7464
 [66,] 2284.7238 2295.8806 2307.0375 2318.1944 2329.3513 2340.5081 2351.6650
 [67,] 2324.8632 2336.4089 2347.9546 2359.5003 2371.0460 2382.5916 2394.1373
 [68,] 2365.5124 2377.4543 2389.3961 2401.3379 2413.2797 2425.2216 2437.1634
 [69,] 2406.6716 2419.0168 2431.3621 2443.7073 2456.0526 2468.3979 2480.7431
 [70,] 2448.3405 2461.0965 2473.8525 2486.6086 2499.3646 2512.1206 2524.8766
 [71,] 2490.5194 2503.6934 2516.8675 2530.0415 2543.2156 2556.3897 2569.5637
 [72,] 2533.2081 2546.8075 2560.4069 2574.0063 2587.6057 2601.2052 2614.8046
 [73,] 2576.4066 2590.4387 2604.4708 2618.5029 2632.5350 2646.5670 2660.5991
 [74,] 2620.1151 2634.5871 2649.0592 2663.5312 2678.0033 2692.4753 2706.9474
 [75,] 2664.3333 2679.2527 2694.1720 2709.0914 2724.0107 2738.9300 2753.8494
 [76,] 2709.0615 2724.4354 2739.8093 2755.1833 2770.5572 2785.9311 2801.3050
 [77,] 2754.2995 2770.1353 2785.9711 2801.8070 2817.6428 2833.4786 2849.3144
 [78,] 2800.0474 2816.3524 2832.6574 2848.9624 2865.2675 2881.5725 2897.8775
 [79,] 2846.3051 2863.0866 2879.8682 2896.6497 2913.4312 2930.2128 2946.9943
 [80,] 2893.0727 2910.3380 2927.6034 2944.8687 2962.1341 2979.3995 2996.6648
 [81,] 2940.3501 2958.1066 2975.8631 2993.6196 3011.3760 3029.1325 3046.8890
 [82,] 2988.1374 3006.3923 3024.6472 3042.9022 3061.1571 3079.4120 3097.6669
 [83,] 3036.4346 3055.1952 3073.9559 3092.7166 3111.4772 3130.2379 3148.9985
 [84,] 3085.2416 3104.5153 3123.7890 3143.0627 3162.3364 3181.6102 3200.8839
 [85,] 3134.5585 3154.3525 3174.1466 3193.9407 3213.7347 3233.5288 3253.3229
 [86,] 3184.3852 3204.7069 3225.0287 3245.3504 3265.6722 3285.9939 3306.3156
 [87,] 3234.7218 3255.5785 3276.4352 3297.2919 3318.1486 3339.0054 3359.8621
 [88,] 3285.5683 3306.9673 3328.3662 3349.7652 3371.1642 3392.5632 3413.9622
 [89,] 3336.9246 3358.8732 3380.8217 3402.7703 3424.7189 3446.6675 3468.6161
 [90,] 3388.7908 3411.2962 3433.8017 3456.3072 3478.8127 3501.3181 3523.8236
 [91,] 3441.1668 3464.2365 3487.3062 3510.3758 3533.4455 3556.5152 3579.5849
 [92,] 3494.0527 3517.6939 3541.3351 3564.9763 3588.6175 3612.2586 3635.8998
 [93,] 3547.4485 3571.6685 3595.8885 3620.1085 3644.3285 3668.5485 3692.7685
 [94,] 3601.3541 3626.1602 3650.9664 3675.7725 3700.5786 3725.3847 3750.1909
 [95,] 3655.7696 3681.1691 3706.5687 3731.9683 3757.3678 3782.7674 3808.1670
 [96,] 3710.6949 3736.6952 3762.6955 3788.6958 3814.6961 3840.6964 3866.6967
 [97,] 3766.1301 3792.7385 3819.3468 3845.9552 3872.5635 3899.1719 3925.7802
 [98,] 3822.0752 3849.2989 3876.5226 3903.7463 3930.9700 3958.1937 3985.4174
 [99,] 3878.5301 3906.3765 3934.2228 3962.0692 3989.9156 4017.7620 4045.6083
           [,99]
  [1,]  780.2202
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  [5,]  809.1674
  [6,]  817.8068
  [7,]  827.0072
  [8,]  836.7685
  [9,]  847.0909
 [10,]  857.9743
 [11,]  869.4188
 [12,]  881.4242
 [13,]  893.9906
 [14,]  907.1181
 [15,]  920.8066
 [16,]  935.0561
 [17,]  949.8665
 [18,]  965.2381
 [19,]  981.1706
 [20,]  997.6641
 [21,] 1014.7187
 [22,] 1032.3342
 [23,] 1050.5108
 [24,] 1069.2484
 [25,] 1088.5470
 [26,] 1108.4066
 [27,] 1128.8272
 [28,] 1149.8089
 [29,] 1171.3515
 [30,] 1193.4552
 [31,] 1216.1199
 [32,] 1239.3456
 [33,] 1263.1323
 [34,] 1287.4800
 [35,] 1312.3887
 [36,] 1337.8585
 [37,] 1363.8892
 [38,] 1390.4810
 [39,] 1417.6338
 [40,] 1445.3476
 [41,] 1473.6224
 [42,] 1502.4582
 [43,] 1531.8551
 [44,] 1561.8129
 [45,] 1592.3318
 [46,] 1623.4116
 [47,] 1655.0525
 [48,] 1687.2544
 [49,] 1720.0173
 [50,] 1753.3413
 [51,] 1787.2262
 [52,] 1821.6722
 [53,] 1856.6791
 [54,] 1892.2471
 [55,] 1928.3761
 [56,] 1965.0661
 [57,] 2002.3171
 [58,] 2040.1292
 [59,] 2078.5022
 [60,] 2117.4363
 [61,] 2156.9313
 [62,] 2196.9874
 [63,] 2237.6045
 [64,] 2278.7826
 [65,] 2320.5218
 [66,] 2362.8219
 [67,] 2405.6830
 [68,] 2449.1052
 [69,] 2493.0884
 [70,] 2537.6326
 [71,] 2582.7378
 [72,] 2628.4040
 [73,] 2674.6312
 [74,] 2721.4195
 [75,] 2768.7687
 [76,] 2816.6790
 [77,] 2865.1503
 [78,] 2914.1825
 [79,] 2963.7759
 [80,] 3013.9302
 [81,] 3064.6455
 [82,] 3115.9218
 [83,] 3167.7592
 [84,] 3220.1576
 [85,] 3273.1170
 [86,] 3326.6374
 [87,] 3380.7188
 [88,] 3435.3612
 [89,] 3490.5646
 [90,] 3546.3291
 [91,] 3602.6545
 [92,] 3659.5410
 [93,] 3716.9885
 [94,] 3774.9970
 [95,] 3833.5665
 [96,] 3892.6971
 [97,] 3952.3886
 [98,] 4012.6412
 [99,] 4073.4547

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "arain_tot"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc
1      0      2     5       0        0

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_2014_v <- visreg2d(baseline_quad_inter_2014, "N_kgha", "arain_tot",ylab="Rainfall (mm)",xlab="Nitrogen (kg per ha)", main="2014")

baseline_quad_inter_2014_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  309.4597  332.3338  355.2079  378.0820  400.9561  423.8302  446.7043
 [8]  469.5784  492.4525  515.3265  538.2006  561.0747  583.9488  606.8229
[15]  629.6970  652.5711  675.4452  698.3192  721.1933  744.0674  766.9415
[22]  789.8156  812.6897  835.5638  858.4379  881.3119  904.1860  927.0601
[29]  949.9342  972.8083  995.6824 1018.5565 1041.4306 1064.3046 1087.1787
[36] 1110.0528 1132.9269 1155.8010 1178.6751 1201.5492 1224.4233 1247.2974
[43] 1270.1714 1293.0455 1315.9196 1338.7937 1361.6678 1384.5419 1407.4160
[50] 1430.2901 1453.1641 1476.0382 1498.9123 1521.7864 1544.6605 1567.5346
[57] 1590.4087 1613.2828 1636.1568 1659.0309 1681.9050 1704.7791 1727.6532
[64] 1750.5273 1773.4014 1796.2755 1819.1495 1842.0236 1864.8977 1887.7718
[71] 1910.6459 1933.5200 1956.3941 1979.2682 2002.1423 2025.0163 2047.8904
[78] 2070.7645 2093.6386 2116.5127 2139.3868 2162.2609 2185.1350 2208.0090
[85] 2230.8831 2253.7572 2276.6313 2299.5054 2322.3795 2345.2536 2368.1277
[92] 2391.0017 2413.8758 2436.7499 2459.6240 2482.4981 2505.3722 2528.2463
[99] 2551.1204

$z
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  767.6560  768.6386  769.6211  770.6037  771.5862  772.5688  773.5514
  [2,]  769.1706  770.3469  771.5233  772.6997  773.8760  775.0524  776.2288
  [3,]  771.2293  772.5896  773.9498  775.3101  776.6704  778.0306  779.3909
  [4,]  773.8322  775.3665  776.9007  778.4350  779.9692  781.5034  783.0377
  [5,]  776.9793  778.6776  780.3759  782.0743  783.7726  785.4709  787.1692
  [6,]  780.6706  782.5231  784.3755  786.2280  788.0804  789.9329  791.7854
  [7,]  784.9061  786.9028  788.8995  790.8961  792.8928  794.8895  796.8862
  [8,]  789.6857  791.8167  793.9477  796.0787  798.2098  800.3408  802.4718
  [9,]  795.0095  797.2649  799.5203  801.7758  804.0312  806.2866  808.5421
 [10,]  800.8775  803.2474  805.6173  807.9872  810.3572  812.7271  815.0970
 [11,]  807.2896  809.7641  812.2386  814.7131  817.1877  819.6622  822.1367
 [12,]  814.2460  816.8151  819.3843  821.9535  824.5227  827.0918  829.6610
 [13,]  821.7465  824.4004  827.0543  829.7083  832.3622  835.0161  837.6700
 [14,]  829.7912  832.5199  835.2487  837.9775  840.7062  843.4350  846.1638
 [15,]  838.3800  841.1737  843.9674  846.7611  849.5548  852.3485  855.1422
 [16,]  847.5131  850.3618  853.2105  856.0592  858.9079  861.7566  864.6053
 [17,]  857.1903  860.0841  862.9779  865.8717  868.7655  871.6593  874.5531
 [18,]  867.4117  870.3407  873.2696  876.1986  879.1276  882.0566  884.9856
 [19,]  878.1772  881.1315  884.0858  887.0400  889.9943  892.9485  895.9028
 [20,]  889.4870  892.4566  895.4262  898.3958  901.3654  904.3351  907.3047
 [21,]  901.3409  904.3160  907.2910  910.2661  913.2411  916.2162  919.1912
 [22,]  913.7390  916.7096  919.6802  922.6508  925.6213  928.5919  931.5625
 [23,]  926.6813  929.6375  932.5937  935.5499  938.5061  941.4623  944.4185
 [24,]  940.1678  943.0996  946.0315  948.9634  951.8953  954.8272  957.7591
 [25,]  954.1984  957.0961  959.9937  962.8914  965.7891  968.6868  971.5845
 [26,]  968.7732  971.6267  974.4803  977.3338  980.1874  983.0409  985.8945
 [27,]  983.8922  986.6917  989.4912  992.2907  995.0902  997.8897 1000.6892
 [28,]  999.5553 1002.2909 1005.0264 1007.7620 1010.4975 1013.2331 1015.9686
 [29,] 1015.7627 1018.4244 1021.0860 1023.7477 1026.4094 1029.0711 1031.7328
 [30,] 1032.5142 1035.0921 1037.6700 1040.2479 1042.8258 1045.4037 1047.9816
 [31,] 1049.8099 1052.2941 1054.7783 1057.2625 1059.7467 1062.2309 1064.7151
 [32,] 1067.6498 1070.0303 1072.4109 1074.7915 1077.1721 1079.5527 1081.9332
 [33,] 1086.0338 1088.3009 1090.5679 1092.8350 1095.1020 1097.3691 1099.6361
 [34,] 1104.9620 1107.1056 1109.2493 1111.3929 1113.5365 1115.6801 1117.8237
 [35,] 1124.4344 1126.4447 1128.4549 1130.4652 1132.4755 1134.4857 1136.4960
 [36,] 1144.4510 1146.3180 1148.1850 1150.0520 1151.9190 1153.7859 1155.6529
 [37,] 1165.0118 1166.7256 1168.4394 1170.1532 1171.8670 1173.5808 1175.2946
 [38,] 1186.1167 1187.6674 1189.2181 1190.7688 1192.3195 1193.8702 1195.4209
 [39,] 1207.7658 1209.1435 1210.5212 1211.8989 1213.2766 1214.6543 1216.0320
 [40,] 1229.9591 1231.1539 1232.3486 1233.5434 1234.7382 1235.9329 1237.1277
 [41,] 1252.6966 1253.6985 1254.7004 1255.7023 1256.7043 1257.7062 1258.7081
 [42,] 1275.9782 1276.7774 1277.5765 1278.3757 1279.1749 1279.9741 1280.7732
 [43,] 1299.8040 1300.3905 1300.9770 1301.5635 1302.1500 1302.7365 1303.3231
 [44,] 1324.1740 1324.5379 1324.9019 1325.2658 1325.6297 1325.9936 1326.3576
 [45,] 1349.0882 1349.2196 1349.3510 1349.4825 1349.6139 1349.7453 1349.8767
 [46,] 1374.5465 1374.4355 1374.3246 1374.2136 1374.1026 1373.9916 1373.8806
 [47,] 1400.5490 1400.1857 1399.8224 1399.4591 1399.0958 1398.7325 1398.3692
 [48,] 1427.0957 1426.4702 1425.8447 1425.2191 1424.5936 1423.9680 1423.3425
 [49,] 1454.1866 1453.2889 1452.3912 1451.4935 1450.5958 1449.6981 1448.8004
 [50,] 1481.8217 1480.6419 1479.4621 1478.2824 1477.1026 1475.9229 1474.7431
 [51,] 1510.0009 1508.5292 1507.0574 1505.5857 1504.1139 1502.6422 1501.1704
 [52,] 1538.7243 1536.9507 1535.1770 1533.4034 1531.6298 1529.8561 1528.0825
 [53,] 1567.9919 1565.9064 1563.8210 1561.7356 1559.6501 1557.5647 1555.4792
 [54,] 1597.8036 1595.3965 1592.9893 1590.5821 1588.1750 1585.7678 1583.3606
 [55,] 1628.1596 1625.4208 1622.6820 1619.9432 1617.2044 1614.4656 1611.7268
 [56,] 1659.0597 1655.9793 1652.8990 1649.8186 1646.7383 1643.6579 1640.5776
 [57,] 1690.5040 1687.0722 1683.6404 1680.2085 1676.7767 1673.3449 1669.9131
 [58,] 1722.4925 1718.6993 1714.9061 1711.1129 1707.3197 1703.5265 1699.7333
 [59,] 1755.0251 1750.8606 1746.6961 1742.5316 1738.3671 1734.2027 1730.0382
 [60,] 1788.1019 1783.5562 1779.0105 1774.4648 1769.9191 1765.3734 1760.8277
 [61,] 1821.7229 1816.7861 1811.8493 1806.9125 1801.9757 1797.0388 1792.1020
 [62,] 1855.8881 1850.5502 1845.2124 1839.8745 1834.5367 1829.1988 1823.8610
 [63,] 1890.5975 1884.8487 1879.0998 1873.3510 1867.6022 1861.8534 1856.1046
 [64,] 1925.8510 1919.6813 1913.5117 1907.3420 1901.1723 1895.0027 1888.8330
 [65,] 1961.6487 1955.0482 1948.4478 1941.8474 1935.2469 1928.6465 1922.0460
 [66,] 1997.9906 1990.9494 1983.9083 1976.8672 1969.8260 1962.7849 1955.7438
 [67,] 2034.8766 2027.3849 2019.8932 2012.4014 2004.9097 1997.4179 1989.9262
 [68,] 2072.3069 2064.3546 2056.4024 2048.4501 2040.4978 2032.5456 2024.5933
 [69,] 2110.2813 2101.8586 2093.4359 2085.0132 2076.5905 2068.1678 2059.7451
 [70,] 2148.7999 2139.8968 2130.9938 2122.0908 2113.1877 2104.2847 2095.3816
 [71,] 2187.8626 2178.4693 2169.0760 2159.6827 2150.2894 2140.8961 2131.5028
 [72,] 2227.4696 2217.5761 2207.6826 2197.7892 2187.8957 2178.0022 2168.1087
 [73,] 2267.6207 2257.2171 2246.8136 2236.4100 2226.0064 2215.6029 2205.1993
 [74,] 2308.3160 2297.3924 2286.4689 2275.5453 2264.6217 2253.6982 2242.7746
 [75,] 2349.5555 2338.1020 2326.6485 2315.1950 2303.7415 2292.2880 2280.8346
 [76,] 2391.3391 2379.3458 2367.3525 2355.3592 2343.3659 2331.3725 2319.3792
 [77,] 2433.6669 2421.1239 2408.5808 2396.0378 2383.4947 2370.9516 2358.4086
 [78,] 2476.5390 2463.4362 2450.3335 2437.2308 2424.1281 2411.0253 2397.9226
 [79,] 2519.9551 2506.2828 2492.6105 2478.9382 2465.2660 2451.5937 2437.9214
 [80,] 2563.9155 2549.6637 2535.4119 2521.1601 2506.9084 2492.6566 2478.4048
 [81,] 2608.4200 2593.5788 2578.7377 2563.8965 2549.0553 2534.2141 2519.3729
 [82,] 2653.4687 2638.0282 2622.5877 2607.1472 2591.7067 2576.2662 2560.8257
 [83,] 2699.0616 2683.0119 2666.9622 2650.9124 2634.8627 2618.8130 2602.7632
 [84,] 2745.1987 2728.5298 2711.8609 2695.1921 2678.5232 2661.8543 2645.1854
 [85,] 2791.8799 2774.5820 2757.2841 2739.9861 2722.6882 2705.3903 2688.0923
 [86,] 2839.1054 2821.1685 2803.2315 2785.2946 2767.3577 2749.4208 2731.4839
 [87,] 2886.8750 2868.2892 2849.7034 2831.1176 2812.5318 2793.9460 2775.3602
 [88,] 2935.1887 2915.9441 2896.6995 2877.4549 2858.2104 2838.9658 2819.7212
 [89,] 2984.0467 2964.1334 2944.2201 2924.3068 2904.3934 2884.4801 2864.5668
 [90,] 3033.4488 3012.8569 2992.2649 2971.6730 2951.0811 2930.4891 2909.8972
 [91,] 3083.3951 3062.1146 3040.8342 3019.5537 2998.2732 2976.9927 2955.7122
 [92,] 3133.8856 3111.9067 3089.9277 3067.9488 3045.9698 3023.9909 3002.0120
 [93,] 3184.9202 3162.2329 3139.5456 3116.8583 3094.1710 3071.4837 3048.7964
 [94,] 3236.4991 3213.0935 3189.6879 3166.2823 3142.8767 3119.4711 3096.0655
 [95,] 3288.6221 3264.4883 3240.3545 3216.2207 3192.0869 3167.9531 3143.8194
 [96,] 3341.2893 3316.4174 3291.5455 3266.6736 3241.8017 3216.9298 3192.0579
 [97,] 3394.5006 3368.8807 3343.2608 3317.6409 3292.0209 3266.4010 3240.7811
 [98,] 3448.2562 3421.8783 3395.5004 3369.1226 3342.7447 3316.3668 3289.9890
 [99,] 3502.5559 3475.4102 3448.2645 3421.1187 3393.9730 3366.8273 3339.6816
            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
  [1,]  774.5339  775.5165  776.4990  777.4816  778.4642  779.4467  780.4293
  [2,]  777.4051  778.5815  779.7579  780.9342  782.1106  783.2870  784.4633
  [3,]  780.7511  782.1114  783.4717  784.8319  786.1922  787.5524  788.9127
  [4,]  784.5719  786.1062  787.6404  789.1746  790.7089  792.2431  793.7774
  [5,]  788.8675  790.5658  792.2641  793.9624  795.6607  797.3590  799.0573
  [6,]  793.6378  795.4903  797.3427  799.1952  801.0477  802.9001  804.7526
  [7,]  798.8829  800.8796  802.8763  804.8730  806.8697  808.8664  810.8631
  [8,]  804.6028  806.7339  808.8649  810.9959  813.1269  815.2579  817.3890
  [9,]  810.7975  813.0529  815.3084  817.5638  819.8192  822.0747  824.3301
 [10,]  817.4670  819.8369  822.2068  824.5767  826.9467  829.3166  831.6865
 [11,]  824.6112  827.0857  829.5602  832.0347  834.5092  836.9837  839.4582
 [12,]  832.2302  834.7994  837.3685  839.9377  842.5069  845.0761  847.6453
 [13,]  840.3240  842.9779  845.6318  848.2858  850.9397  853.5936  856.2476
 [14,]  848.8925  851.6213  854.3501  857.0789  859.8076  862.5364  865.2652
 [15,]  857.9359  860.7296  863.5233  866.3170  869.1107  871.9044  874.6981
 [16,]  867.4540  870.3027  873.1514  876.0001  878.8488  881.6975  884.5463
 [17,]  877.4469  880.3407  883.2345  886.1283  889.0221  891.9159  894.8097
 [18,]  887.9146  890.8436  893.7726  896.7016  899.6305  902.5595  905.4885
 [19,]  898.8570  901.8113  904.7656  907.7198  910.6741  913.6283  916.5826
 [20,]  910.2743  913.2439  916.2135  919.1831  922.1527  925.1223  928.0920
 [21,]  922.1663  925.1413  928.1164  931.0915  934.0665  937.0416  940.0166
 [22,]  934.5331  937.5037  940.4743  943.4448  946.4154  949.3860  952.3566
 [23,]  947.3747  950.3309  953.2870  956.2432  959.1994  962.1556  965.1118
 [24,]  960.6910  963.6229  966.5548  969.4867  972.4186  975.3505  978.2824
 [25,]  974.4821  977.3798  980.2775  983.1752  986.0729  988.9705  991.8682
 [26,]  988.7480  991.6016  994.4551  997.3087 1000.1622 1003.0158 1005.8693
 [27,] 1003.4887 1006.2882 1009.0877 1011.8872 1014.6868 1017.4863 1020.2858
 [28,] 1018.7042 1021.4397 1024.1753 1026.9108 1029.6464 1032.3819 1035.1175
 [29,] 1034.3944 1037.0561 1039.7178 1042.3795 1045.0411 1047.7028 1050.3645
 [30,] 1050.5595 1053.1373 1055.7152 1058.2931 1060.8710 1063.4489 1066.0268
 [31,] 1067.1993 1069.6834 1072.1676 1074.6518 1077.1360 1079.6202 1082.1044
 [32,] 1084.3138 1086.6944 1089.0750 1091.4556 1093.8362 1096.2167 1098.5973
 [33,] 1101.9032 1104.1702 1106.4373 1108.7043 1110.9714 1113.2385 1115.5055
 [34,] 1119.9673 1122.1109 1124.2545 1126.3982 1128.5418 1130.6854 1132.8290
 [35,] 1138.5062 1140.5165 1142.5267 1144.5370 1146.5473 1148.5575 1150.5678
 [36,] 1157.5199 1159.3869 1161.2539 1163.1209 1164.9879 1166.8549 1168.7218
 [37,] 1177.0084 1178.7222 1180.4360 1182.1498 1183.8636 1185.5774 1187.2912
 [38,] 1196.9716 1198.5223 1200.0731 1201.6238 1203.1745 1204.7252 1206.2759
 [39,] 1217.4097 1218.7874 1220.1651 1221.5428 1222.9204 1224.2981 1225.6758
 [40,] 1238.3225 1239.5172 1240.7120 1241.9068 1243.1015 1244.2963 1245.4911
 [41,] 1259.7101 1260.7120 1261.7139 1262.7158 1263.7178 1264.7197 1265.7216
 [42,] 1281.5724 1282.3716 1283.1708 1283.9699 1284.7691 1285.5683 1286.3675
 [43,] 1303.9096 1304.4961 1305.0826 1305.6691 1306.2556 1306.8421 1307.4286
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           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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 [43,] 1312.1207 1312.7072 1313.2937 1313.8802 1314.4667 1315.0532 1315.6397
 [44,] 1331.8164 1332.1804 1332.5443 1332.9082 1333.2721 1333.6361 1334.0000
 [45,] 1351.8482 1351.9796 1352.1110 1352.2425 1352.3739 1352.5053 1352.6368
 [46,] 1372.2159 1372.1049 1371.9940 1371.8830 1371.7720 1371.6610 1371.5500
 [47,] 1392.9196 1392.5563 1392.1930 1391.8297 1391.4664 1391.1031 1390.7398
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 [51,] 1479.0943 1477.6226 1476.1508 1474.6791 1473.2074 1471.7356 1470.2639
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 [63,] 1769.8726 1764.1238 1758.3750 1752.6262 1746.8774 1741.1286 1735.3798
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 [65,] 1823.0394 1816.4390 1809.8385 1803.2381 1796.6376 1790.0372 1783.4368
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 [67,] 1877.5501 1870.0584 1862.5667 1855.0749 1847.5832 1840.0914 1832.5997
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           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
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 [34,] 1164.9832 1167.1268 1169.2704 1171.4140 1173.5576 1175.7012 1177.8448
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 [36,] 1196.7267 1198.5936 1200.4606 1202.3276 1204.1946 1206.0616 1207.9286
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 [41,] 1280.7506 1281.7525 1282.7544 1283.7563 1284.7583 1285.7602 1286.7621
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 [43,] 1316.2262 1316.8127 1317.3992 1317.9857 1318.5722 1319.1587 1319.7452
 [44,] 1334.3639 1334.7278 1335.0918 1335.4557 1335.8196 1336.1835 1336.5475
 [45,] 1352.7682 1352.8996 1353.0310 1353.1625 1353.2939 1353.4253 1353.5568
 [46,] 1371.4391 1371.3281 1371.2171 1371.1061 1370.9951 1370.8841 1370.7732
 [47,] 1390.3765 1390.0132 1389.6499 1389.2866 1388.9233 1388.5600 1388.1967
 [48,] 1409.5805 1408.9550 1408.3294 1407.7039 1407.0784 1406.4528 1405.8273
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 [64,] 1753.1004 1746.9307 1740.7610 1734.5914 1728.4217 1722.2520 1716.0824
 [65,] 1776.8363 1770.2359 1763.6354 1757.0350 1750.4346 1743.8341 1737.2337
 [66,] 1800.8389 1793.7977 1786.7566 1779.7155 1772.6743 1765.6332 1758.5921
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 [68,] 1849.6437 1841.6914 1833.7392 1825.7869 1817.8346 1809.8824 1801.9301
 [69,] 1874.4459 1866.0233 1857.6006 1849.1779 1840.7552 1832.3325 1823.9098
 [70,] 1899.5148 1890.6118 1881.7087 1872.8057 1863.9027 1854.9996 1846.0966
 [71,] 1924.8503 1915.4570 1906.0637 1896.6704 1887.2771 1877.8838 1868.4905
 [72,] 1950.4523 1940.5588 1930.6653 1920.7719 1910.8784 1900.9849 1891.0914
 [73,] 1976.3209 1965.9173 1955.5138 1945.1102 1934.7067 1924.3031 1913.8995
 [74,] 2002.4561 1991.5325 1980.6090 1969.6854 1958.7618 1947.8383 1936.9147
 [75,] 2028.8579 2017.4044 2005.9509 1994.4974 1983.0439 1971.5905 1960.1370
 [76,] 2055.5263 2043.5329 2031.5396 2019.5463 2007.5530 1995.5597 1983.5664
 [77,] 2082.4612 2069.9181 2057.3751 2044.8320 2032.2890 2019.7459 2007.2028
 [78,] 2109.6627 2096.5600 2083.4573 2070.3546 2057.2518 2044.1491 2031.0464
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           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
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 [26,] 1068.6474 1071.5010 1074.3545 1077.2081 1080.0616 1082.9152 1085.7687
 [27,] 1081.8749 1084.6744 1087.4739 1090.2734 1093.0729 1095.8724 1098.6720
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 [30,] 1122.7405 1125.3184 1127.8963 1130.4741 1133.0520 1135.6299 1138.2078
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 [34,] 1179.9885 1182.1321 1184.2757 1186.4193 1188.5629 1190.7065 1192.8501
 [35,] 1194.7934 1196.8037 1198.8139 1200.8242 1202.8344 1204.8447 1206.8550
 [36,] 1209.7956 1211.6625 1213.5295 1215.3965 1217.2635 1219.1305 1220.9975
 [37,] 1224.9949 1226.7087 1228.4225 1230.1363 1231.8501 1233.5639 1235.2777
 [38,] 1240.3914 1241.9421 1243.4928 1245.0435 1246.5942 1248.1449 1249.6956
 [39,] 1255.9851 1257.3628 1258.7405 1260.1182 1261.4959 1262.8736 1264.2513
 [40,] 1271.7760 1272.9708 1274.1655 1275.3603 1276.5551 1277.7498 1278.9446
 [41,] 1287.7641 1288.7660 1289.7679 1290.7698 1291.7718 1292.7737 1293.7756
 [42,] 1303.9493 1304.7485 1305.5477 1306.3468 1307.1460 1307.9452 1308.7444
 [43,] 1320.3318 1320.9183 1321.5048 1322.0913 1322.6778 1323.2643 1323.8508
 [44,] 1336.9114 1337.2753 1337.6392 1338.0032 1338.3671 1338.7310 1339.0949
 [45,] 1353.6882 1353.8196 1353.9510 1354.0825 1354.2139 1354.3453 1354.4768
 [46,] 1370.6622 1370.5512 1370.4402 1370.3292 1370.2183 1370.1073 1369.9963
 [47,] 1387.8334 1387.4701 1387.1068 1386.7434 1386.3801 1386.0168 1385.6535
 [48,] 1405.2017 1404.5762 1403.9506 1403.3251 1402.6996 1402.0740 1401.4485
 [49,] 1422.7673 1421.8696 1420.9719 1420.0742 1419.1765 1418.2788 1417.3811
 [50,] 1440.5300 1439.3503 1438.1705 1436.9907 1435.8110 1434.6312 1433.4514
 [51,] 1458.4899 1457.0182 1455.5464 1454.0747 1452.6030 1451.1312 1449.6595
 [52,] 1476.6470 1474.8734 1473.0998 1471.3261 1469.5525 1467.7789 1466.0052
 [53,] 1495.0013 1492.9159 1490.8304 1488.7450 1486.6595 1484.5741 1482.4887
 [54,] 1513.5528 1511.1456 1508.7385 1506.3313 1503.9241 1501.5170 1499.1098
 [55,] 1532.3015 1529.5627 1526.8239 1524.0850 1521.3462 1518.6074 1515.8686
 [56,] 1551.2473 1548.1670 1545.0866 1542.0062 1538.9259 1535.8455 1532.7652
 [57,] 1570.3903 1566.9585 1563.5267 1560.0949 1556.6631 1553.2312 1549.7994
 [58,] 1589.7305 1585.9374 1582.1442 1578.3510 1574.5578 1570.7646 1566.9714
 [59,] 1609.2679 1605.1035 1600.9390 1596.7745 1592.6100 1588.4455 1584.2810
 [60,] 1629.0025 1624.4568 1619.9111 1615.3654 1610.8197 1606.2740 1601.7283
 [61,] 1648.9343 1643.9975 1639.0607 1634.1238 1629.1870 1624.2502 1619.3134
 [62,] 1669.0633 1663.7254 1658.3875 1653.0497 1647.7118 1642.3740 1637.0361
 [63,] 1689.3894 1683.6406 1677.8918 1672.1430 1666.3942 1660.6454 1654.8966
 [64,] 1709.9127 1703.7431 1697.5734 1691.4037 1685.2341 1679.0644 1672.8947
 [65,] 1730.6332 1724.0328 1717.4323 1710.8319 1704.2315 1697.6310 1691.0306
 [66,] 1751.5509 1744.5098 1737.4687 1730.4275 1723.3864 1716.3453 1709.3041
 [67,] 1772.6658 1765.1741 1757.6823 1750.1906 1742.6988 1735.2071 1727.7154
 [68,] 1793.9779 1786.0256 1778.0733 1770.1211 1762.1688 1754.2166 1746.2643
 [69,] 1815.4871 1807.0644 1798.6417 1790.2190 1781.7964 1773.3737 1764.9510
 [70,] 1837.1935 1828.2905 1819.3875 1810.4844 1801.5814 1792.6784 1783.7753
 [71,] 1859.0972 1849.7039 1840.3106 1830.9173 1821.5240 1812.1307 1802.7374
 [72,] 1881.1980 1871.3045 1861.4110 1851.5175 1841.6241 1831.7306 1821.8371
 [73,] 1903.4960 1893.0924 1882.6888 1872.2853 1861.8817 1851.4781 1841.0746
 [74,] 1925.9911 1915.0676 1904.1440 1893.2204 1882.2969 1871.3733 1860.4497
 [75,] 1948.6835 1937.2300 1925.7765 1914.3230 1902.8696 1891.4161 1879.9626
 [76,] 1971.5730 1959.5797 1947.5864 1935.5931 1923.5998 1911.6065 1899.6131
 [77,] 1994.6598 1982.1167 1969.5736 1957.0306 1944.4875 1931.9445 1919.4014
 [78,] 2017.9437 2004.8410 1991.7382 1978.6355 1965.5328 1952.4301 1939.3273
 [79,] 2041.4248 2027.7525 2014.0802 2000.4079 1986.7356 1973.0633 1959.3910
 [80,] 2065.1031 2050.8513 2036.5995 2022.3477 2008.0959 1993.8441 1979.5924
 [81,] 2088.9785 2074.1373 2059.2962 2044.4550 2029.6138 2014.7726 1999.9314
 [82,] 2113.0512 2097.6107 2082.1702 2066.7297 2051.2892 2035.8487 2020.4082
 [83,] 2137.3210 2121.2713 2105.2216 2089.1718 2073.1221 2057.0724 2041.0226
 [84,] 2161.7880 2145.1192 2128.4503 2111.7814 2095.1125 2078.4437 2061.7748
 [85,] 2186.4523 2169.1543 2151.8564 2134.5584 2117.2605 2099.9626 2082.6646
 [86,] 2211.3136 2193.3767 2175.4398 2157.5029 2139.5660 2121.6291 2103.6922
 [87,] 2236.3722 2217.7864 2199.2006 2180.6148 2162.0291 2143.4433 2124.8575
 [88,] 2261.6280 2242.3834 2223.1388 2203.8942 2184.6496 2165.4050 2146.1604
 [89,] 2287.0809 2267.1676 2247.2543 2227.3410 2207.4277 2187.5144 2167.6011
 [90,] 2312.7311 2292.1391 2271.5472 2250.9553 2230.3633 2209.7714 2189.1795
 [91,] 2338.5784 2317.2979 2296.0174 2274.7370 2253.4565 2232.1760 2210.8955
 [92,] 2364.6229 2342.6440 2320.6650 2298.6861 2276.7072 2254.7282 2232.7493
 [93,] 2390.8646 2368.1773 2345.4900 2322.8027 2300.1154 2277.4281 2254.7407
 [94,] 2417.3034 2393.8979 2370.4923 2347.0867 2323.6811 2300.2755 2276.8699
 [95,] 2443.9395 2419.8057 2395.6719 2371.5381 2347.4044 2323.2706 2299.1368
 [96,] 2470.7728 2445.9008 2421.0289 2396.1570 2371.2851 2346.4132 2321.5413
 [97,] 2497.8032 2472.1833 2446.5633 2420.9434 2395.3235 2369.7035 2344.0836
 [98,] 2525.0308 2498.6529 2472.2751 2445.8972 2419.5193 2393.1415 2366.7636
 [99,] 2552.4556 2525.3099 2498.1641 2471.0184 2443.8727 2416.7270 2389.5813
           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
  [1,]  808.9234  809.9060  810.8886  811.8711  812.8537  813.8362  814.8188
  [2,]  818.5780  819.7543  820.9307  822.1071  823.2834  824.4598  825.6362
  [3,]  828.3603  829.7205  831.0808  832.4410  833.8013  835.1616  836.5218
  [4,]  838.2703  839.8046  841.3388  842.8731  844.4073  845.9416  847.4758
  [5,]  848.3082  850.0065  851.7048  853.4031  855.1014  856.7998  858.4981
  [6,]  858.4739  860.3263  862.1788  864.0313  865.8837  867.7362  869.5886
  [7,]  868.7673  870.7640  872.7607  874.7574  876.7541  878.7508  880.7475
  [8,]  879.1886  881.3196  883.4506  885.5816  887.7126  889.8437  891.9747
  [9,]  889.7376  891.9930  894.2484  896.5039  898.7593  901.0147  903.2702
 [10,]  900.4144  902.7843  905.1542  907.5242  909.8941  912.2640  914.6340
 [11,]  911.2190  913.6935  916.1680  918.6425  921.1170  923.5915  926.0660
 [12,]  922.1514  924.7205  927.2897  929.8589  932.4281  934.9972  937.5664
 [13,]  933.2115  935.8655  938.5194  941.1733  943.8273  946.4812  949.1351
 [14,]  944.3995  947.1283  949.8570  952.5858  955.3146  958.0433  960.7721
 [15,]  955.7152  958.5089  961.3026  964.0963  966.8900  969.6837  972.4774
 [16,]  967.1588  970.0075  972.8562  975.7049  978.5536  981.4023  984.2510
 [17,]  978.7301  981.6239  984.5177  987.4115  990.3053  993.1991  996.0929
 [18,]  990.4292  993.3582  996.2871  999.2161 1002.1451 1005.0741 1008.0031
 [19,] 1002.2561 1005.2103 1008.1646 1011.1188 1014.0731 1017.0273 1019.9816
 [20,] 1014.2107 1017.1803 1020.1500 1023.1196 1026.0892 1029.0588 1032.0284
 [21,] 1026.2932 1029.2682 1032.2433 1035.2183 1038.1934 1041.1685 1044.1435
 [22,] 1038.5034 1041.4740 1044.4446 1047.4152 1050.3858 1053.3563 1056.3269
 [23,] 1050.8415 1053.7977 1056.7539 1059.7100 1062.6662 1065.6224 1068.5786
 [24,] 1063.3073 1066.2392 1069.1711 1072.1030 1075.0349 1077.9668 1080.8986
 [25,] 1075.9009 1078.7986 1081.6962 1084.5939 1087.4916 1090.3893 1093.2870
 [26,] 1088.6223 1091.4758 1094.3294 1097.1829 1100.0365 1102.8900 1105.7436
 [27,] 1101.4715 1104.2710 1107.0705 1109.8700 1112.6695 1115.4690 1118.2685
 [28,] 1114.4484 1117.1840 1119.9195 1122.6551 1125.3906 1128.1262 1130.8617
 [29,] 1127.5532 1130.2149 1132.8765 1135.5382 1138.1999 1140.8616 1143.5232
 [30,] 1140.7857 1143.3636 1145.9415 1148.5194 1151.0973 1153.6752 1156.2531
 [31,] 1154.1460 1156.6302 1159.1144 1161.5986 1164.0828 1166.5670 1169.0512
 [32,] 1167.6342 1170.0147 1172.3953 1174.7759 1177.1565 1179.5371 1181.9176
 [33,] 1181.2501 1183.5171 1185.7842 1188.0512 1190.3183 1192.5853 1194.8524
 [34,] 1194.9937 1197.1374 1199.2810 1201.4246 1203.5682 1205.7118 1207.8554
 [35,] 1208.8652 1210.8755 1212.8857 1214.8960 1216.9062 1218.9165 1220.9268
 [36,] 1222.8645 1224.7315 1226.5984 1228.4654 1230.3324 1232.1994 1234.0664
 [37,] 1236.9915 1238.7053 1240.4191 1242.1329 1243.8467 1245.5605 1247.2743
 [38,] 1251.2463 1252.7971 1254.3478 1255.8985 1257.4492 1258.9999 1260.5506
 [39,] 1265.6290 1267.0067 1268.3844 1269.7620 1271.1397 1272.5174 1273.8951
 [40,] 1280.1394 1281.3341 1282.5289 1283.7237 1284.9184 1286.1132 1287.3080
 [41,] 1294.7776 1295.7795 1296.7814 1297.7833 1298.7853 1299.7872 1300.7891
 [42,] 1309.5435 1310.3427 1311.1419 1311.9411 1312.7402 1313.5394 1314.3386
 [43,] 1324.4373 1325.0238 1325.6103 1326.1968 1326.7833 1327.3698 1327.9563
 [44,] 1339.4589 1339.8228 1340.1867 1340.5506 1340.9146 1341.2785 1341.6424
 [45,] 1354.6082 1354.7396 1354.8711 1355.0025 1355.1339 1355.2653 1355.3968
 [46,] 1369.8853 1369.7743 1369.6634 1369.5524 1369.4414 1369.3304 1369.2194
 [47,] 1385.2902 1384.9269 1384.5636 1384.2003 1383.8370 1383.4737 1383.1104
 [48,] 1400.8229 1400.1974 1399.5718 1398.9463 1398.3208 1397.6952 1397.0697
 [49,] 1416.4834 1415.5857 1414.6880 1413.7903 1412.8926 1411.9949 1411.0972
 [50,] 1432.2717 1431.0919 1429.9122 1428.7324 1427.5526 1426.3729 1425.1931
 [51,] 1448.1877 1446.7160 1445.2443 1443.7725 1442.3008 1440.8290 1439.3573
 [52,] 1464.2316 1462.4579 1460.6843 1458.9107 1457.1370 1455.3634 1453.5898
 [53,] 1480.4032 1478.3178 1476.2323 1474.1469 1472.0614 1469.9760 1467.8905
 [54,] 1496.7026 1494.2955 1491.8883 1489.4811 1487.0740 1484.6668 1482.2596
 [55,] 1513.1298 1510.3910 1507.6522 1504.9134 1502.1746 1499.4358 1496.6970
 [56,] 1529.6848 1526.6045 1523.5241 1520.4438 1517.3634 1514.2831 1511.2027
 [57,] 1546.3676 1542.9358 1539.5040 1536.0721 1532.6403 1529.2085 1525.7767
 [58,] 1563.1782 1559.3850 1555.5918 1551.7986 1548.0054 1544.2122 1540.4190
 [59,] 1580.1165 1575.9520 1571.7875 1567.6230 1563.4586 1559.2941 1555.1296
 [60,] 1597.1827 1592.6370 1588.0913 1583.5456 1578.9999 1574.4542 1569.9085
 [61,] 1614.3766 1609.4398 1604.5029 1599.5661 1594.6293 1589.6925 1584.7557
 [62,] 1631.6983 1626.3604 1621.0226 1615.6847 1610.3469 1605.0090 1599.6712
 [63,] 1649.1478 1643.3990 1637.6502 1631.9014 1626.1526 1620.4038 1614.6550
 [64,] 1666.7251 1660.5554 1654.3857 1648.2161 1642.0464 1635.8767 1629.7071
 [65,] 1684.4301 1677.8297 1671.2293 1664.6288 1658.0284 1651.4279 1644.8275
 [66,] 1702.2630 1695.2219 1688.1807 1681.1396 1674.0985 1667.0573 1660.0162
 [67,] 1720.2236 1712.7319 1705.2402 1697.7484 1690.2567 1682.7649 1675.2732
 [68,] 1738.3121 1730.3598 1722.4075 1714.4553 1706.5030 1698.5508 1690.5985
 [69,] 1756.5283 1748.1056 1739.6829 1731.2602 1722.8375 1714.4148 1705.9921
 [70,] 1774.8723 1765.9692 1757.0662 1748.1632 1739.2601 1730.3571 1721.4541
 [71,] 1793.3441 1783.9508 1774.5575 1765.1642 1755.7709 1746.3776 1736.9843
 [72,] 1811.9436 1802.0502 1792.1567 1782.2632 1772.3697 1762.4763 1752.5828
 [73,] 1830.6710 1820.2674 1809.8639 1799.4603 1789.0568 1778.6532 1768.2496
 [74,] 1849.5262 1838.6026 1827.6790 1816.7555 1805.8319 1794.9083 1783.9848
 [75,] 1868.5091 1857.0556 1845.6021 1834.1486 1822.6952 1811.2417 1799.7882
 [76,] 1887.6198 1875.6265 1863.6332 1851.6399 1839.6465 1827.6532 1815.6599
 [77,] 1906.8583 1894.3153 1881.7722 1869.2291 1856.6861 1844.1430 1831.6000
 [78,] 1926.2246 1913.1219 1900.0192 1886.9165 1873.8137 1860.7110 1847.6083
 [79,] 1945.7187 1932.0464 1918.3741 1904.7018 1891.0295 1877.3572 1863.6849
 [80,] 1965.3406 1951.0888 1936.8370 1922.5852 1908.3334 1894.0817 1879.8299
 [81,] 1985.0902 1970.2490 1955.4079 1940.5667 1925.7255 1910.8843 1896.0431
 [82,] 2004.9677 1989.5272 1974.0867 1958.6462 1943.2057 1927.7652 1912.3247
 [83,] 2024.9729 2008.9232 1992.8734 1976.8237 1960.7740 1944.7242 1928.6745
 [84,] 2045.1059 2028.4370 2011.7682 1995.0993 1978.4304 1961.7615 1945.0927
 [85,] 2065.3667 2048.0688 2030.7708 2013.4729 1996.1750 1978.8770 1961.5791
 [86,] 2085.7553 2067.8184 2049.8815 2031.9446 2014.0077 1996.0708 1978.1339
 [87,] 2106.2717 2087.6859 2069.1001 2050.5143 2031.9285 2013.3427 1994.7569
 [88,] 2126.9158 2107.6712 2088.4267 2069.1821 2049.9375 2030.6929 2011.4483
 [89,] 2147.6878 2127.7745 2107.8612 2087.9479 2068.0346 2048.1213 2028.2079
 [90,] 2168.5875 2147.9956 2127.4036 2106.8117 2086.2198 2065.6278 2045.0359
 [91,] 2189.6150 2168.3346 2147.0541 2125.7736 2104.4931 2083.2127 2061.9322
 [92,] 2210.7703 2188.7914 2166.8125 2144.8335 2122.8546 2100.8757 2078.8967
 [93,] 2232.0534 2209.3661 2186.6788 2163.9915 2141.3042 2118.6169 2095.9296
 [94,] 2253.4643 2230.0587 2206.6531 2183.2476 2159.8420 2136.4364 2113.0308
 [95,] 2275.0030 2250.8692 2226.7354 2202.6016 2178.4678 2154.3341 2130.2003
 [96,] 2296.6694 2271.7975 2246.9256 2222.0537 2197.1818 2172.3099 2147.4380
 [97,] 2318.4637 2292.8438 2267.2238 2241.6039 2215.9840 2190.3640 2164.7441
 [98,] 2340.3857 2314.0078 2287.6300 2261.2521 2234.8742 2208.4964 2182.1185
 [99,] 2362.4355 2335.2898 2308.1441 2280.9984 2253.8526 2226.7069 2199.5612
           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
  [1,]  815.8013  816.7839  817.7665  818.7490  819.7316  820.7141  821.6967
  [2,]  826.8125  827.9889  829.1653  830.3416  831.5180  832.6944  833.8707
  [3,]  837.8821  839.2423  840.6026  841.9629  843.3231  844.6834  846.0436
  [4,]  849.0100  850.5443  852.0785  853.6128  855.1470  856.6812  858.2155
  [5,]  860.1964  861.8947  863.5930  865.2913  866.9896  868.6879  870.3862
  [6,]  871.4411  873.2936  875.1460  876.9985  878.8509  880.7034  882.5558
  [7,]  882.7442  884.7409  886.7376  888.7343  890.7310  892.7277  894.7244
  [8,]  894.1057  896.2367  898.3678  900.4988  902.6298  904.7608  906.8918
  [9,]  905.5256  907.7810  910.0365  912.2919  914.5473  916.8028  919.0582
 [10,]  917.0039  919.3738  921.7437  924.1137  926.4836  928.8535  931.2234
 [11,]  928.5405  931.0151  933.4896  935.9641  938.4386  940.9131  943.3876
 [12,]  940.1356  942.7048  945.2740  947.8431  950.4123  952.9815  955.5507
 [13,]  951.7890  954.4430  957.0969  959.7508  962.4048  965.0587  967.7126
 [14,]  963.5009  966.2296  968.9584  971.6872  974.4160  977.1447  979.8735
 [15,]  975.2711  978.0648  980.8585  983.6522  986.4459  989.2396  992.0333
 [16,]  987.0997  989.9484  992.7971  995.6458  998.4945 1001.3432 1004.1919
 [17,]  998.9867 1001.8805 1004.7743 1007.6681 1010.5619 1013.4557 1016.3495
 [18,] 1010.9321 1013.8611 1016.7901 1019.7190 1022.6480 1025.5770 1028.5060
 [19,] 1022.9359 1025.8901 1028.8444 1031.7986 1034.7529 1037.7071 1040.6614
 [20,] 1034.9980 1037.9676 1040.9372 1043.9069 1046.8765 1049.8461 1052.8157
 [21,] 1047.1186 1050.0936 1053.0687 1056.0437 1059.0188 1061.9938 1064.9689
 [22,] 1059.2975 1062.2681 1065.2387 1068.2092 1071.1798 1074.1504 1077.1210
 [23,] 1071.5348 1074.4910 1077.4472 1080.4034 1083.3596 1086.3158 1089.2720
 [24,] 1083.8305 1086.7624 1089.6943 1092.6262 1095.5581 1098.4900 1101.4219
 [25,] 1096.1846 1099.0823 1101.9800 1104.8777 1107.7754 1110.6730 1113.5707
 [26,] 1108.5971 1111.4507 1114.3042 1117.1578 1120.0113 1122.8649 1125.7184
 [27,] 1121.0680 1123.8675 1126.6670 1129.4665 1132.2660 1135.0655 1137.8650
 [28,] 1133.5973 1136.3328 1139.0684 1141.8039 1144.5395 1147.2750 1150.0106
 [29,] 1146.1849 1148.8466 1151.5083 1154.1700 1156.8316 1159.4933 1162.1550
 [30,] 1158.8310 1161.4089 1163.9868 1166.5647 1169.1425 1171.7204 1174.2983
 [31,] 1171.5354 1174.0196 1176.5038 1178.9880 1181.4722 1183.9564 1186.4406
 [32,] 1184.2982 1186.6788 1189.0594 1191.4400 1193.8205 1196.2011 1198.5817
 [33,] 1197.1194 1199.3865 1201.6535 1203.9206 1206.1876 1208.4547 1210.7217
 [34,] 1209.9990 1212.1426 1214.2862 1216.4299 1218.5735 1220.7171 1222.8607
 [35,] 1222.9370 1224.9473 1226.9575 1228.9678 1230.9780 1232.9883 1234.9985
 [36,] 1235.9334 1237.8004 1239.6674 1241.5343 1243.4013 1245.2683 1247.1353
 [37,] 1248.9881 1250.7019 1252.4157 1254.1296 1255.8434 1257.5572 1259.2710
 [38,] 1262.1013 1263.6520 1265.2027 1266.7534 1268.3041 1269.8548 1271.4055
 [39,] 1275.2728 1276.6505 1278.0282 1279.4059 1280.7836 1282.1613 1283.5390
 [40,] 1288.5027 1289.6975 1290.8923 1292.0871 1293.2818 1294.4766 1295.6714
 [41,] 1301.7911 1302.7930 1303.7949 1304.7968 1305.7988 1306.8007 1307.8026
 [42,] 1315.1378 1315.9369 1316.7361 1317.5353 1318.3345 1319.1336 1319.9328
 [43,] 1328.5429 1329.1294 1329.7159 1330.3024 1330.8889 1331.4754 1332.0619
 [44,] 1342.0063 1342.3703 1342.7342 1343.0981 1343.4620 1343.8260 1344.1899
 [45,] 1355.5282 1355.6596 1355.7911 1355.9225 1356.0539 1356.1853 1356.3168
 [46,] 1369.1085 1368.9975 1368.8865 1368.7755 1368.6645 1368.5535 1368.4426
 [47,] 1382.7471 1382.3838 1382.0205 1381.6572 1381.2939 1380.9306 1380.5673
 [48,] 1396.4441 1395.8186 1395.1930 1394.5675 1393.9420 1393.3164 1392.6909
 [49,] 1410.1995 1409.3018 1408.4042 1407.5065 1406.6088 1405.7111 1404.8134
 [50,] 1424.0134 1422.8336 1421.6538 1420.4741 1419.2943 1418.1145 1416.9348
 [51,] 1437.8855 1436.4138 1434.9421 1433.4703 1431.9986 1430.5268 1429.0551
 [52,] 1451.8161 1450.0425 1448.2689 1446.4952 1444.7216 1442.9479 1441.1743
 [53,] 1465.8051 1463.7197 1461.6342 1459.5488 1457.4633 1455.3779 1453.2924
 [54,] 1479.8525 1477.4453 1475.0381 1472.6310 1470.2238 1467.8166 1465.4095
 [55,] 1493.9582 1491.2194 1488.4806 1485.7418 1483.0030 1480.2642 1477.5254
 [56,] 1508.1223 1505.0420 1501.9616 1498.8813 1495.8009 1492.7206 1489.6402
 [57,] 1522.3449 1518.9131 1515.4812 1512.0494 1508.6176 1505.1858 1501.7540
 [58,] 1536.6258 1532.8326 1529.0394 1525.2462 1521.4530 1517.6598 1513.8666
 [59,] 1550.9651 1546.8006 1542.6361 1538.4716 1534.3071 1530.1426 1525.9781
 [60,] 1565.3628 1560.8171 1556.2714 1551.7257 1547.1800 1542.6343 1538.0886
 [61,] 1579.8189 1574.8820 1569.9452 1565.0084 1560.0716 1555.1348 1550.1979
 [62,] 1594.3333 1588.9955 1583.6576 1578.3198 1572.9819 1567.6441 1562.3062
 [63,] 1608.9062 1603.1574 1597.4086 1591.6598 1585.9110 1580.1622 1574.4134
 [64,] 1623.5374 1617.3677 1611.1981 1605.0284 1598.8588 1592.6891 1586.5194
 [65,] 1638.2270 1631.6266 1625.0262 1618.4257 1611.8253 1605.2248 1598.6244
 [66,] 1652.9751 1645.9339 1638.8928 1631.8517 1624.8105 1617.7694 1610.7283
 [67,] 1667.7815 1660.2897 1652.7980 1645.3063 1637.8145 1630.3228 1622.8310
 [68,] 1682.6463 1674.6940 1666.7417 1658.7895 1650.8372 1642.8850 1634.9327
 [69,] 1697.5694 1689.1468 1680.7241 1672.3014 1663.8787 1655.4560 1647.0333
 [70,] 1712.5510 1703.6480 1694.7449 1685.8419 1676.9389 1668.0358 1659.1328
 [71,] 1727.5910 1718.1977 1708.8044 1699.4111 1690.0178 1680.6245 1671.2312
 [72,] 1742.6893 1732.7959 1722.9024 1713.0089 1703.1154 1693.2220 1683.3285
 [73,] 1757.8461 1747.4425 1737.0389 1726.6354 1716.2318 1705.8282 1695.4247
 [74,] 1773.0612 1762.1376 1751.2141 1740.2905 1729.3669 1718.4433 1707.5198
 [75,] 1788.3347 1776.8812 1765.4277 1753.9742 1742.5208 1731.0673 1719.6138
 [76,] 1803.6666 1791.6733 1779.6800 1767.6866 1755.6933 1743.7000 1731.7067
 [77,] 1819.0569 1806.5138 1793.9708 1781.4277 1768.8846 1756.3416 1743.7985
 [78,] 1834.5056 1821.4028 1808.3001 1795.1974 1782.0947 1768.9920 1755.8892
 [79,] 1850.0126 1836.3403 1822.6680 1808.9957 1795.3234 1781.6512 1767.9789
 [80,] 1865.5781 1851.3263 1837.0745 1822.8227 1808.5709 1794.3192 1780.0674
 [81,] 1881.2019 1866.3607 1851.5196 1836.6784 1821.8372 1806.9960 1792.1548
 [82,] 1896.8842 1881.4437 1866.0032 1850.5627 1835.1221 1819.6816 1804.2411
 [83,] 1912.6248 1896.5750 1880.5253 1864.4756 1848.4258 1832.3761 1816.3264
 [84,] 1928.4238 1911.7549 1895.0860 1878.4172 1861.7483 1845.0794 1828.4105
 [85,] 1944.2812 1926.9832 1909.6853 1892.3874 1875.0894 1857.7915 1840.4936
 [86,] 1960.1970 1942.2601 1924.3231 1906.3862 1888.4493 1870.5124 1852.5755
 [87,] 1976.1711 1957.5853 1938.9995 1920.4138 1901.8280 1883.2422 1864.6564
 [88,] 1992.2037 1972.9591 1953.7145 1934.4699 1915.2253 1895.9807 1876.7361
 [89,] 2008.2946 1988.3813 1968.4680 1948.5547 1928.6414 1908.7281 1888.8148
 [90,] 2024.4440 2003.8520 1983.2601 1962.6682 1942.0762 1921.4843 1900.8924
 [91,] 2040.6517 2019.3712 1998.0907 1976.8103 1955.5298 1934.2493 1912.9688
 [92,] 2056.9178 2034.9389 2012.9599 1990.9810 1969.0021 1947.0231 1925.0442
 [93,] 2073.2423 2050.5550 2027.8677 2005.1804 1982.4931 1959.8058 1937.1185
 [94,] 2089.6252 2066.2196 2042.8140 2019.4084 1996.0028 1972.5973 1949.1917
 [95,] 2106.0665 2081.9327 2057.7989 2033.6651 2009.5313 1985.3975 1961.2637
 [96,] 2122.5661 2097.6942 2072.8223 2047.9504 2023.0785 1998.2066 1973.3347
 [97,] 2139.1242 2113.5043 2087.8843 2062.2644 2036.6445 2011.0246 1985.4046
 [98,] 2155.7406 2129.3628 2102.9849 2076.6070 2050.2292 2023.8513 1997.4734
 [99,] 2172.4155 2145.2697 2118.1240 2090.9783 2063.8326 2036.6868 2009.5411
           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
  [1,]  822.6793  823.6618  824.6444  825.6269  826.6095  827.5920  828.5746
  [2,]  835.0471  836.2235  837.3998  838.5762  839.7525  840.9289  842.1053
  [3,]  847.4039  848.7642  850.1244  851.4847  852.8449  854.2052  855.5655
  [4,]  859.7497  861.2840  862.8182  864.3524  865.8867  867.4209  868.9552
  [5,]  872.0845  873.7828  875.4811  877.1794  878.8777  880.5761  882.2744
  [6,]  884.4083  886.2608  888.1132  889.9657  891.8181  893.6706  895.5231
  [7,]  896.7211  898.7178  900.7145  902.7112  904.7079  906.7046  908.7013
  [8,]  909.0229  911.1539  913.2849  915.4159  917.5469  919.6780  921.8090
  [9,]  921.3136  923.5690  925.8245  928.0799  930.3353  932.5908  934.8462
 [10,]  933.5934  935.9633  938.3332  940.7031  943.0731  945.4430  947.8129
 [11,]  945.8621  948.3366  950.8111  953.2856  955.7601  958.2346  960.7092
 [12,]  958.1198  960.6890  963.2582  965.8274  968.3965  970.9657  973.5349
 [13,]  970.3666  973.0205  975.6744  978.3283  980.9823  983.6362  986.2901
 [14,]  982.6023  985.3310  988.0598  990.7886  993.5173  996.2461  998.9749
 [15,]  994.8270  997.6207 1000.4144 1003.2080 1006.0017 1008.7954 1011.5891
 [16,] 1007.0406 1009.8894 1012.7381 1015.5868 1018.4355 1021.2842 1024.1329
 [17,] 1019.2433 1022.1371 1025.0309 1027.9247 1030.8185 1033.7124 1036.6062
 [18,] 1031.4350 1034.3640 1037.2930 1040.2220 1043.1509 1046.0799 1049.0089
 [19,] 1043.6157 1046.5699 1049.5242 1052.4784 1055.4327 1058.3869 1061.3412
 [20,] 1055.7853 1058.7549 1061.7245 1064.6941 1067.6638 1070.6334 1073.6030
 [21,] 1067.9439 1070.9190 1073.8940 1076.8691 1079.8442 1082.8192 1085.7943
 [22,] 1080.0916 1083.0621 1086.0327 1089.0033 1091.9739 1094.9445 1097.9151
 [23,] 1092.2282 1095.1844 1098.1406 1101.0968 1104.0530 1107.0092 1109.9654
 [24,] 1104.3538 1107.2857 1110.2176 1113.1495 1116.0814 1119.0133 1121.9452
 [25,] 1116.4684 1119.3661 1122.2637 1125.1614 1128.0591 1130.9568 1133.8545
 [26,] 1128.5720 1131.4255 1134.2791 1137.1326 1139.9862 1142.8397 1145.6933
 [27,] 1140.6646 1143.4641 1146.2636 1149.0631 1151.8626 1154.6621 1157.4616
 [28,] 1152.7461 1155.4817 1158.2172 1160.9528 1163.6883 1166.4239 1169.1594
 [29,] 1164.8167 1167.4784 1170.1400 1172.8017 1175.4634 1178.1251 1180.7867
 [30,] 1176.8762 1179.4541 1182.0320 1184.6099 1187.1878 1189.7657 1192.3436
 [31,] 1188.9248 1191.4090 1193.8931 1196.3773 1198.8615 1201.3457 1203.8299
 [32,] 1200.9623 1203.3429 1205.7234 1208.1040 1210.4846 1212.8652 1215.2458
 [33,] 1212.9888 1215.2559 1217.5229 1219.7900 1222.0570 1224.3241 1226.5911
 [34,] 1225.0043 1227.1479 1229.2915 1231.4351 1233.5788 1235.7224 1237.8660
 [35,] 1237.0088 1239.0191 1241.0293 1243.0396 1245.0498 1247.0601 1249.0703
 [36,] 1249.0023 1250.8693 1252.7363 1254.6033 1256.4702 1258.3372 1260.2042
 [37,] 1260.9848 1262.6986 1264.4124 1266.1262 1267.8400 1269.5538 1271.2676
 [38,] 1272.9562 1274.5069 1276.0576 1277.6083 1279.1591 1280.7098 1282.2605
 [39,] 1284.9167 1286.2944 1287.6721 1289.0498 1290.4275 1291.8052 1293.1829
 [40,] 1296.8661 1298.0609 1299.2557 1300.4504 1301.6452 1302.8400 1304.0347
 [41,] 1308.8046 1309.8065 1310.8084 1311.8104 1312.8123 1313.8142 1314.8161
 [42,] 1320.7320 1321.5312 1322.3303 1323.1295 1323.9287 1324.7279 1325.5270
 [43,] 1332.6484 1333.2349 1333.8214 1334.4079 1334.9944 1335.5809 1336.1674
 [44,] 1344.5538 1344.9177 1345.2817 1345.6456 1346.0095 1346.3734 1346.7374
 [45,] 1356.4482 1356.5796 1356.7111 1356.8425 1356.9739 1357.1053 1357.2368
 [46,] 1368.3316 1368.2206 1368.1096 1367.9986 1367.8877 1367.7767 1367.6657
 [47,] 1380.2040 1379.8407 1379.4773 1379.1140 1378.7507 1378.3874 1378.0241
 [48,] 1392.0653 1391.4398 1390.8142 1390.1887 1389.5632 1388.9376 1388.3121
 [49,] 1403.9157 1403.0180 1402.1203 1401.2226 1400.3249 1399.4272 1398.5295
 [50,] 1415.7550 1414.5753 1413.3955 1412.2157 1411.0360 1409.8562 1408.6765
 [51,] 1427.5834 1426.1116 1424.6399 1423.1681 1421.6964 1420.2246 1418.7529
 [52,] 1439.4007 1437.6270 1435.8534 1434.0798 1432.3061 1430.5325 1428.7589
 [53,] 1451.2070 1449.1215 1447.0361 1444.9507 1442.8652 1440.7798 1438.6943
 [54,] 1463.0023 1460.5951 1458.1880 1455.7808 1453.3736 1450.9665 1448.5593
 [55,] 1474.7866 1472.0478 1469.3090 1466.5702 1463.8314 1461.0926 1458.3538
 [56,] 1486.5599 1483.4795 1480.3992 1477.3188 1474.2384 1471.1581 1468.0777
 [57,] 1498.3221 1494.8903 1491.4585 1488.0267 1484.5949 1481.1630 1477.7312
 [58,] 1510.0734 1506.2802 1502.4870 1498.6938 1494.9006 1491.1074 1487.3142
 [59,] 1521.8137 1517.6492 1513.4847 1509.3202 1505.1557 1500.9912 1496.8267
 [60,] 1533.5429 1528.9972 1524.4515 1519.9058 1515.3601 1510.8144 1506.2687
 [61,] 1545.2611 1540.3243 1535.3875 1530.4507 1525.5139 1520.5770 1515.6402
 [62,] 1556.9683 1551.6305 1546.2926 1540.9548 1535.6169 1530.2791 1524.9412
 [63,] 1568.6646 1562.9158 1557.1670 1551.4182 1545.6694 1539.9206 1534.1717
 [64,] 1580.3498 1574.1801 1568.0104 1561.8408 1555.6711 1549.5014 1543.3318
 [65,] 1592.0240 1585.4235 1578.8231 1572.2226 1565.6222 1559.0217 1552.4213
 [66,] 1603.6871 1596.6460 1589.6049 1582.5637 1575.5226 1568.4815 1561.4403
 [67,] 1615.3393 1607.8476 1600.3558 1592.8641 1585.3724 1577.8806 1570.3889
 [68,] 1626.9805 1619.0282 1611.0759 1603.1237 1595.1714 1587.2192 1579.2669
 [69,] 1638.6106 1630.1879 1621.7652 1613.3425 1604.9199 1596.4972 1588.0745
 [70,] 1650.2298 1641.3267 1632.4237 1623.5206 1614.6176 1605.7146 1596.8115
 [71,] 1661.8379 1652.4446 1643.0513 1633.6580 1624.2647 1614.8714 1605.4781
 [72,] 1673.4350 1663.5415 1653.6481 1643.7546 1633.8611 1623.9676 1614.0742
 [73,] 1685.0211 1674.6175 1664.2140 1653.8104 1643.4069 1633.0033 1622.5997
 [74,] 1696.5962 1685.6726 1674.7491 1663.8255 1652.9019 1641.9784 1631.0548
 [75,] 1708.1603 1696.7068 1685.2533 1673.7998 1662.3464 1650.8929 1639.4394
 [76,] 1719.7134 1707.7201 1695.7267 1683.7334 1671.7401 1659.7468 1647.7535
 [77,] 1731.2555 1718.7124 1706.1693 1693.6263 1681.0832 1668.5401 1655.9971
 [78,] 1742.7865 1729.6838 1716.5811 1703.4783 1690.3756 1677.2729 1664.1702
 [79,] 1754.3066 1740.6343 1726.9620 1713.2897 1699.6174 1685.9451 1672.2728
 [80,] 1765.8156 1751.5638 1737.3120 1723.0602 1708.8085 1694.5567 1680.3049
 [81,] 1777.3136 1762.4724 1747.6313 1732.7901 1717.9489 1703.1077 1688.2665
 [82,] 1788.8006 1773.3601 1757.9196 1742.4791 1727.0386 1711.5981 1696.1576
 [83,] 1800.2767 1784.2269 1768.1772 1752.1275 1736.0777 1720.0280 1703.9783
 [84,] 1811.7417 1795.0728 1778.4039 1761.7350 1745.0661 1728.3973 1711.7284
 [85,] 1823.1956 1805.8977 1788.5998 1771.3018 1754.0039 1736.7060 1719.4080
 [86,] 1834.6386 1816.7017 1798.7648 1780.8279 1762.8910 1744.9541 1727.0172
 [87,] 1846.0706 1827.4848 1808.8990 1790.3132 1771.7274 1753.1416 1734.5558
 [88,] 1857.4915 1838.2469 1819.0024 1799.7578 1780.5132 1761.2686 1742.0240
 [89,] 1868.9015 1848.9882 1829.0749 1809.1616 1789.2483 1769.3350 1749.4216
 [90,] 1880.3004 1859.7085 1839.1166 1818.5246 1797.9327 1777.3407 1756.7488
 [91,] 1891.6884 1870.4079 1849.1274 1827.8469 1806.5664 1785.2860 1764.0055
 [92,] 1903.0653 1881.0863 1859.1074 1837.1285 1815.1495 1793.1706 1771.1917
 [93,] 1914.4312 1891.7439 1869.0566 1846.3693 1823.6820 1800.9947 1778.3073
 [94,] 1925.7861 1902.3805 1878.9749 1855.5693 1832.1637 1808.7581 1785.3525
 [95,] 1937.1300 1912.9962 1888.8624 1864.7286 1840.5948 1816.4610 1792.3272
 [96,] 1948.4628 1923.5909 1898.7190 1873.8471 1848.9752 1824.1033 1799.2314
 [97,] 1959.7847 1934.1648 1908.5448 1882.9249 1857.3050 1831.6851 1806.0651
 [98,] 1971.0956 1944.7177 1918.3398 1891.9620 1865.5841 1839.2062 1812.8283
 [99,] 1982.3954 1955.2497 1928.1040 1900.9582 1873.8125 1846.6668 1819.5211
           [,64]     [,65]     [,66]     [,67]     [,68]     [,69]     [,70]
  [1,]  829.5572  830.5397  831.5223  832.5048  833.4874  834.4699  835.4525
  [2,]  843.2816  844.4580  845.6344  846.8107  847.9871  849.1635  850.3398
  [3,]  856.9257  858.2860  859.6462  861.0065  862.3668  863.7270  865.0873
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  [6,]  897.3755  899.2280  901.0804  902.9329  904.7854  906.6378  908.4903
  [7,]  910.6980  912.6947  914.6914  916.6881  918.6848  920.6815  922.6781
  [8,]  923.9400  926.0710  928.2020  930.3331  932.4641  934.5951  936.7261
  [9,]  937.1016  939.3571  941.6125  943.8679  946.1234  948.3788  950.6342
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 [11,]  963.1837  965.6582  968.1327  970.6072  973.0817  975.5562  978.0307
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 [13,]  988.9441  991.5980  994.2519  996.9059  999.5598 1002.2137 1004.8676
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 [15,] 1014.3828 1017.1765 1019.9702 1022.7639 1025.5576 1028.3513 1031.1450
 [16,] 1026.9816 1029.8303 1032.6790 1035.5277 1038.3764 1041.2251 1044.0738
 [17,] 1039.5000 1042.3938 1045.2876 1048.1814 1051.0752 1053.9690 1056.8628
 [18,] 1051.9379 1054.8669 1057.7959 1060.7249 1063.6539 1066.5829 1069.5118
 [19,] 1064.2955 1067.2497 1070.2040 1073.1582 1076.1125 1079.0667 1082.0210
 [20,] 1076.5726 1079.5422 1082.5118 1085.4814 1088.4510 1091.4207 1094.3903
 [21,] 1088.7693 1091.7444 1094.7194 1097.6945 1100.6695 1103.6446 1106.6196
 [22,] 1100.8856 1103.8562 1106.8268 1109.7974 1112.7680 1115.7385 1118.7091
 [23,] 1112.9215 1115.8777 1118.8339 1121.7901 1124.7463 1127.7025 1130.6587
 [24,] 1124.8770 1127.8089 1130.7408 1133.6727 1136.6046 1139.5365 1142.4684
 [25,] 1136.7521 1139.6498 1142.5475 1145.4452 1148.3429 1151.2405 1154.1382
 [26,] 1148.5468 1151.4004 1154.2539 1157.1075 1159.9610 1162.8146 1165.6681
 [27,] 1160.2611 1163.0606 1165.8601 1168.6596 1171.4591 1174.2586 1177.0581
 [28,] 1171.8950 1174.6305 1177.3661 1180.1016 1182.8372 1185.5727 1188.3083
 [29,] 1183.4484 1186.1101 1188.7718 1191.4335 1194.0951 1196.7568 1199.4185
 [30,] 1194.9215 1197.4994 1200.0773 1202.6552 1205.2330 1207.8109 1210.3888
 [31,] 1206.3141 1208.7983 1211.2825 1213.7667 1216.2509 1218.7351 1221.2193
 [32,] 1217.6264 1220.0069 1222.3875 1224.7681 1227.1487 1229.5293 1231.9098
 [33,] 1228.8582 1231.1252 1233.3923 1235.6593 1237.9264 1240.1934 1242.4605
 [34,] 1240.0096 1242.1532 1244.2968 1246.4404 1248.5840 1250.7277 1252.8713
 [35,] 1251.0806 1253.0909 1255.1011 1257.1114 1259.1216 1261.1319 1263.1421
 [36,] 1262.0712 1263.9382 1265.8052 1267.6722 1269.5391 1271.4061 1273.2731
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           [,71]     [,72]     [,73]     [,74]     [,75]     [,76]     [,77]
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 [65,] 1499.6178 1493.0173 1486.4169 1479.8164 1473.2160 1466.6156 1460.0151
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 [73,] 1539.3712 1528.9677 1518.5641 1508.1605 1497.7570 1487.3534 1476.9498
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 [77,] 1555.6526 1543.1095 1530.5665 1518.0234 1505.4803 1492.9373 1480.3942
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           [,78]     [,79]     [,80]     [,81]     [,82]     [,83]     [,84]
  [1,]  843.3130  844.2955  845.2781  846.2606  847.2432  848.2258  849.2083
  [2,]  859.7508  860.9271  862.1035  863.2799  864.4562  865.6326  866.8090
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  [7,]  938.6517  940.6484  942.6451  944.6418  946.6385  948.6352  950.6319
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 [12,] 1012.0725 1014.6417 1017.2109 1019.7801 1022.3492 1024.9184 1027.4876
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 [16,] 1066.8635 1069.7122 1072.5609 1075.4096 1078.2583 1081.1070 1083.9557
 [17,] 1080.0132 1082.9070 1085.8008 1088.6946 1091.5884 1094.4822 1097.3760
 [18,] 1092.9437 1095.8727 1098.8017 1101.7307 1104.6597 1107.5887 1110.5177
 [19,] 1105.6551 1108.6093 1111.5636 1114.5178 1117.4721 1120.4263 1123.3806
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 [22,] 1142.4738 1145.4444 1148.4149 1151.3855 1154.3561 1157.3267 1160.2973
 [23,] 1154.3083 1157.2645 1160.2207 1163.1769 1166.1330 1169.0892 1172.0454
 [24,] 1165.9236 1168.8555 1171.7873 1174.7192 1177.6511 1180.5830 1183.5149
 [25,] 1177.3196 1180.2173 1183.1150 1186.0127 1188.9104 1191.8080 1194.7057
 [26,] 1188.4965 1191.3501 1194.2036 1197.0572 1199.9107 1202.7643 1205.6178
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 [28,] 1210.1927 1212.9282 1215.6638 1218.3993 1221.1349 1223.8704 1226.6060
 [29,] 1220.7119 1223.3736 1226.0353 1228.6970 1231.3586 1234.0203 1236.6820
 [30,] 1231.0120 1233.5899 1236.1678 1238.7457 1241.3236 1243.9014 1246.4793
 [31,] 1241.0928 1243.5770 1246.0612 1248.5454 1251.0296 1253.5138 1255.9980
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           [,85]     [,86]     [,87]     [,88]     [,89]     [,90]     [,91]
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           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
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 [29,] 1257.9754 1260.6371 1263.2988 1265.9605 1268.6221 1271.2838 1273.9455
 [30,] 1267.1025 1269.6804 1272.2583 1274.8362 1277.4141 1279.9920 1282.5698
 [31,] 1275.8716 1278.3557 1280.8399 1283.3241 1285.8083 1288.2925 1290.7767
 [32,] 1284.2826 1286.6632 1289.0438 1291.4244 1293.8049 1296.1855 1298.5661
 [33,] 1292.3357 1294.6027 1296.8698 1299.1368 1301.4039 1303.6709 1305.9380
 [34,] 1300.0307 1302.1743 1304.3180 1306.4616 1308.6052 1310.7488 1312.8924
 [35,] 1307.3678 1309.3780 1311.3883 1313.3986 1315.4088 1317.4191 1319.4293
 [36,] 1314.3468 1316.2138 1318.0808 1319.9478 1321.8148 1323.6818 1325.5488
 [37,] 1320.9679 1322.6817 1324.3955 1326.1093 1327.8231 1329.5369 1331.2507
 [38,] 1327.2309 1328.7816 1330.3323 1331.8831 1333.4338 1334.9845 1336.5352
 [39,] 1333.1360 1334.5137 1335.8914 1337.2691 1338.6468 1340.0245 1341.4021
 [40,] 1338.6830 1339.8778 1341.0726 1342.2673 1343.4621 1344.6569 1345.8516
 [41,] 1343.8721 1344.8740 1345.8759 1346.8779 1347.8798 1348.8817 1349.8836
 [42,] 1348.7031 1349.5023 1350.3015 1351.1006 1351.8998 1352.6990 1353.4982
 [43,] 1353.1761 1353.7627 1354.3492 1354.9357 1355.5222 1356.1087 1356.6952
 [44,] 1357.2912 1357.6551 1358.0190 1358.3830 1358.7469 1359.1108 1359.4747
 [45,] 1361.0482 1361.1797 1361.3111 1361.4425 1361.5739 1361.7054 1361.8368
 [46,] 1364.4473 1364.3363 1364.2253 1364.1143 1364.0033 1363.8923 1363.7814
 [47,] 1367.4883 1367.1250 1366.7617 1366.3984 1366.0351 1365.6718 1365.3085
 [48,] 1370.1713 1369.5458 1368.9202 1368.2947 1367.6691 1367.0436 1366.4181
 [49,] 1372.4963 1371.5986 1370.7009 1369.8033 1368.9056 1368.0079 1367.1102
 [50,] 1374.4634 1373.2836 1372.1038 1370.9241 1369.7443 1368.5646 1367.3848
 [51,] 1376.0724 1374.6006 1373.1289 1371.6572 1370.1854 1368.7137 1367.2419
 [52,] 1377.3234 1375.5498 1373.7761 1372.0025 1370.2289 1368.4552 1366.6816
 [53,] 1378.2164 1376.1310 1374.0455 1371.9601 1369.8746 1367.7892 1365.7038
 [54,] 1378.7514 1376.3443 1373.9371 1371.5299 1369.1228 1366.7156 1364.3084
 [55,] 1378.9285 1376.1897 1373.4509 1370.7120 1367.9732 1365.2344 1362.4956
 [56,] 1378.7475 1375.6671 1372.5868 1369.5064 1366.4261 1363.3457 1360.2653
 [57,] 1378.2085 1374.7767 1371.3448 1367.9130 1364.4812 1361.0494 1357.6176
 [58,] 1377.3115 1373.5183 1369.7251 1365.9319 1362.1387 1358.3455 1354.5523
 [59,] 1376.0565 1371.8920 1367.7275 1363.5630 1359.3985 1355.2340 1351.0696
 [60,] 1374.4435 1369.8978 1365.3521 1360.8064 1356.2607 1351.7150 1347.1693
 [61,] 1372.4725 1367.5357 1362.5989 1357.6620 1352.7252 1347.7884 1342.8516
 [62,] 1370.1435 1364.8056 1359.4678 1354.1299 1348.7921 1343.4542 1338.1164
 [63,] 1367.4565 1361.7077 1355.9589 1350.2101 1344.4613 1338.7125 1332.9637
 [64,] 1364.4115 1358.2418 1352.0722 1345.9025 1339.7328 1333.5632 1327.3935
 [65,] 1361.0085 1354.4080 1347.8076 1341.2072 1334.6067 1328.0063 1321.4058
 [66,] 1357.2475 1350.2064 1343.1652 1336.1241 1329.0830 1322.0418 1315.0007
 [67,] 1353.1285 1345.6367 1338.1450 1330.6533 1323.1615 1315.6698 1308.1780
 [68,] 1348.6515 1340.6992 1332.7469 1324.7947 1316.8424 1308.8902 1300.9379
 [69,] 1343.8164 1335.3938 1326.9711 1318.5484 1310.1257 1301.7030 1293.2803
 [70,] 1338.6234 1329.7204 1320.8174 1311.9143 1303.0113 1294.1082 1285.2052
 [71,] 1333.0724 1323.6791 1314.2858 1304.8925 1295.4992 1286.1059 1276.7126
 [72,] 1327.1634 1317.2699 1307.3764 1297.4830 1287.5895 1277.6960 1267.8025
 [73,] 1320.8964 1310.4928 1300.0892 1289.6857 1279.2821 1268.8786 1258.4750
 [74,] 1314.2713 1303.3478 1292.4242 1281.5006 1270.5771 1259.6535 1248.7299
 [75,] 1307.2883 1295.8348 1284.3814 1272.9279 1261.4744 1250.0209 1238.5674
 [76,] 1299.9473 1287.9540 1275.9607 1263.9673 1251.9740 1239.9807 1227.9874
 [77,] 1292.2483 1279.7052 1267.1621 1254.6191 1242.0760 1229.5330 1216.9899
 [78,] 1284.1912 1271.0885 1257.9858 1244.8831 1231.7803 1218.6776 1205.5749
 [79,] 1275.7762 1262.1039 1248.4316 1234.7593 1221.0870 1207.4147 1193.7424
 [80,] 1267.0032 1252.7514 1238.4996 1224.2478 1209.9960 1195.7442 1181.4925
 [81,] 1257.8721 1243.0309 1228.1898 1213.3486 1198.5074 1183.6662 1168.8250
 [82,] 1248.3831 1232.9426 1217.5021 1202.0616 1186.6211 1171.1806 1155.7401
 [83,] 1238.5360 1222.4863 1206.4366 1190.3868 1174.3371 1158.2874 1142.2377
 [84,] 1228.3310 1211.6621 1194.9932 1178.3244 1161.6555 1144.9866 1128.3177
 [85,] 1217.7680 1200.4700 1183.1721 1165.8741 1148.5762 1131.2783 1113.9803
 [86,] 1206.8469 1188.9100 1170.9731 1153.0362 1135.0993 1117.1624 1099.2255
 [87,] 1195.5679 1176.9821 1158.3963 1139.8105 1121.2247 1102.6389 1084.0531
 [88,] 1183.9308 1164.6862 1145.4416 1126.1970 1106.9524 1087.7078 1068.4632
 [89,] 1171.9357 1152.0224 1132.1091 1112.1958 1092.2825 1072.3692 1052.4559
 [90,] 1159.5827 1138.9908 1118.3988 1097.8069 1077.2149 1056.6230 1036.0311
 [91,] 1146.8716 1125.5912 1104.3107 1083.0302 1061.7497 1040.4692 1019.1888
 [92,] 1133.8026 1111.8236 1089.8447 1067.8658 1045.8868 1023.9079 1001.9290
 [93,] 1120.3755 1097.6882 1075.0009 1052.3136 1029.6263 1006.9390  984.2517
 [94,] 1106.5904 1083.1849 1059.7793 1036.3737 1012.9681  989.5625  966.1569
 [95,] 1092.4474 1068.3136 1044.1798 1020.0460  995.9122  971.7784  947.6446
 [96,] 1077.9463 1053.0744 1028.2025 1003.3306  978.4587  953.5868  928.7149
 [97,] 1063.0872 1037.4673 1011.8474  986.2275  960.6075  934.9876  909.3677
 [98,] 1047.8702 1021.4923  995.1144  968.7366  942.3587  915.9808  889.6030
 [99,] 1032.2951 1005.1494  978.0036  950.8579  923.7122  896.5665  869.4208
           [,99]
  [1,]  863.9467
  [2,]  884.4545
  [3,]  904.5348
  [4,]  924.1878
  [5,]  943.4134
  [6,]  962.2116
  [7,]  980.5824
  [8,]  998.5257
  [9,] 1016.0417
 [10,] 1033.1303
 [11,] 1049.7915
 [12,] 1066.0252
 [13,] 1081.8316
 [14,] 1097.2106
 [15,] 1112.1622
 [16,] 1126.6863
 [17,] 1140.7831
 [18,] 1154.4525
 [19,] 1167.6945
 [20,] 1180.5090
 [21,] 1192.8962
 [22,] 1204.8560
 [23,] 1216.3884
 [24,] 1227.4933
 [25,] 1238.1709
 [26,] 1248.4211
 [27,] 1258.2438
 [28,] 1267.6392
 [29,] 1276.6072
 [30,] 1285.1477
 [31,] 1293.2609
 [32,] 1300.9467
 [33,] 1308.2050
 [34,] 1315.0360
 [35,] 1321.4396
 [36,] 1327.4157
 [37,] 1332.9645
 [38,] 1338.0859
 [39,] 1342.7798
 [40,] 1347.0464
 [41,] 1350.8856
 [42,] 1354.2973
 [43,] 1357.2817
 [44,] 1359.8387
 [45,] 1361.9682
 [46,] 1363.6704
 [47,] 1364.9451
 [48,] 1365.7925
 [49,] 1366.2125
 [50,] 1366.2050
 [51,] 1365.7702
 [52,] 1364.9080
 [53,] 1363.6183
 [54,] 1361.9013
 [55,] 1359.7568
 [56,] 1357.1850
 [57,] 1354.1857
 [58,] 1350.7591
 [59,] 1346.9051
 [60,] 1342.6236
 [61,] 1337.9148
 [62,] 1332.7785
 [63,] 1327.2149
 [64,] 1321.2238
 [65,] 1314.8054
 [66,] 1307.9596
 [67,] 1300.6863
 [68,] 1292.9857
 [69,] 1284.8576
 [70,] 1276.3022
 [71,] 1267.3193
 [72,] 1257.9091
 [73,] 1248.0714
 [74,] 1237.8064
 [75,] 1227.1139
 [76,] 1215.9941
 [77,] 1204.4468
 [78,] 1192.4722
 [79,] 1180.0701
 [80,] 1167.2407
 [81,] 1153.9838
 [82,] 1140.2996
 [83,] 1126.1879
 [84,] 1111.6489
 [85,] 1096.6824
 [86,] 1081.2886
 [87,] 1065.4673
 [88,] 1049.2187
 [89,] 1032.5426
 [90,] 1015.4391
 [91,]  997.9083
 [92,]  979.9500
 [93,]  961.5644
 [94,]  942.7513
 [95,]  923.5109
 [96,]  903.8430
 [97,]  883.7477
 [98,]  863.2251
 [99,]  842.2750

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "arain_tot"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc
1      0      2     5       0        0

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_2020_v <- visreg2d(baseline_quad_inter_2020, "N_kgha", "arain_tot",ylab="Rainfall (mm)",xlab="Nitrogen (kg per ha)", main="2020")

baseline_quad_inter_2020_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  568.9258  598.4328  627.9399  657.4469  686.9540  716.4610  745.9681
 [8]  775.4751  804.9821  834.4892  863.9962  893.5033  923.0103  952.5174
[15]  982.0244 1011.5315 1041.0385 1070.5455 1100.0526 1129.5596 1159.0667
[22] 1188.5737 1218.0808 1247.5878 1277.0949 1306.6019 1336.1090 1365.6160
[29] 1395.1230 1424.6301 1454.1371 1483.6442 1513.1512 1542.6583 1572.1653
[36] 1601.6724 1631.1794 1660.6865 1690.1935 1719.7005 1749.2076 1778.7146
[43] 1808.2217 1837.7287 1867.2358 1896.7428 1926.2499 1955.7569 1985.2640
[50] 2014.7710 2044.2780 2073.7851 2103.2921 2132.7992 2162.3062 2191.8133
[57] 2221.3203 2250.8274 2280.3344 2309.8414 2339.3485 2368.8555 2398.3626
[64] 2427.8696 2457.3767 2486.8837 2516.3908 2545.8978 2575.4049 2604.9119
[71] 2634.4189 2663.9260 2693.4330 2722.9401 2752.4471 2781.9542 2811.4612
[78] 2840.9683 2870.4753 2899.9824 2929.4894 2958.9964 2988.5035 3018.0105
[85] 3047.5176 3077.0246 3106.5317 3136.0387 3165.5458 3195.0528 3224.5598
[92] 3254.0669 3283.5739 3313.0810 3342.5880 3372.0951 3401.6021 3431.1092
[99] 3460.6162

$z
           [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,] 1000.610  998.4261  996.2417  994.0574  991.8730  989.6886  987.5043
  [2,] 1006.637 1004.5360 1002.4351 1000.3342  998.2332  996.1323  994.0313
  [3,] 1012.906 1010.8835 1008.8605 1006.8375 1004.8145 1002.7915 1000.7685
  [4,] 1019.419 1017.4684 1015.5179 1013.5674 1011.6169 1009.6664 1007.7159
  [5,] 1026.174 1024.2908 1022.4074 1020.5239 1018.6404 1016.7569 1014.8734
  [6,] 1033.173 1031.3507 1029.5288 1027.7069 1025.8849 1024.0630 1022.2411
  [7,] 1040.414 1038.6481 1036.8823 1035.1164 1033.3506 1031.5847 1029.8189
  [8,] 1047.898 1046.1830 1044.4678 1042.7526 1041.0373 1039.3221 1037.6068
  [9,] 1055.625 1053.9554 1052.2853 1050.6152 1048.9451 1047.2751 1045.6050
 [10,] 1063.596 1061.9653 1060.3349 1058.7045 1057.0741 1055.4437 1053.8133
 [11,] 1071.809 1070.2126 1068.6164 1067.0202 1065.4240 1063.8279 1062.2317
 [12,] 1080.265 1078.6974 1077.1300 1075.5626 1073.9951 1072.4277 1070.8603
 [13,] 1088.964 1087.4197 1085.8756 1084.3315 1082.7873 1081.2432 1079.6990
 [14,] 1097.906 1096.3796 1094.8532 1093.3269 1091.8006 1090.2742 1088.7479
 [15,] 1107.091 1105.5768 1104.0629 1102.5489 1101.0349 1099.5209 1098.0070
 [16,] 1116.519 1115.0116 1113.5045 1111.9974 1110.4903 1108.9833 1107.4762
 [17,] 1126.190 1124.6839 1123.1782 1121.6725 1120.1669 1118.6612 1117.1555
 [18,] 1136.103 1134.5936 1133.0839 1131.5742 1130.0645 1128.5547 1127.0450
 [19,] 1146.260 1144.7409 1143.2217 1141.7024 1140.1832 1138.6639 1137.1447
 [20,] 1156.660 1155.1256 1153.5914 1152.0572 1150.5230 1148.9887 1147.4545
 [21,] 1167.303 1165.7478 1164.1932 1162.6385 1161.0838 1159.5292 1157.9745
 [22,] 1178.188 1176.6075 1175.0270 1173.4464 1171.8658 1170.2852 1168.7046
 [23,] 1189.317 1187.7047 1186.0928 1184.4808 1182.8688 1181.2569 1179.6449
 [24,] 1200.688 1199.0394 1197.3906 1195.7418 1194.0930 1192.4441 1190.7953
 [25,] 1212.303 1210.6116 1208.9204 1207.2293 1205.5382 1203.8470 1202.1559
 [26,] 1224.160 1222.4212 1220.6823 1218.9434 1217.2045 1215.4656 1213.7267
 [27,] 1236.261 1234.4684 1232.6762 1230.8840 1229.0919 1227.2997 1225.5076
 [28,] 1248.604 1246.7530 1244.9021 1243.0512 1241.2004 1239.3495 1237.4986
 [29,] 1261.190 1259.2751 1257.3601 1255.4450 1253.5299 1251.6149 1249.6998
 [30,] 1274.019 1272.0347 1270.0500 1268.0653 1266.0806 1264.0959 1262.1112
 [31,] 1287.092 1285.0318 1282.9720 1280.9122 1278.8523 1276.7925 1274.7327
 [32,] 1300.407 1298.2664 1296.1260 1293.9856 1291.8452 1289.7048 1287.5643
 [33,] 1313.965 1311.7385 1309.5120 1307.2855 1305.0591 1302.8326 1300.6062
 [34,] 1327.766 1325.4480 1323.1300 1320.8121 1318.4941 1316.1761 1313.8581
 [35,] 1341.810 1339.3951 1336.9801 1334.5651 1332.1502 1329.7352 1327.3203
 [36,] 1356.097 1353.5796 1351.0622 1348.5448 1346.0274 1343.5100 1340.9926
 [37,] 1370.627 1368.0016 1365.3763 1362.7510 1360.1256 1357.5003 1354.8750
 [38,] 1385.400 1382.6611 1379.9224 1377.1837 1374.4450 1371.7063 1368.9676
 [39,] 1400.416 1397.5581 1394.7005 1391.8430 1388.9854 1386.1279 1383.2703
 [40,] 1415.674 1412.6926 1409.7107 1406.7288 1403.7470 1400.7651 1397.7832
 [41,] 1431.176 1428.0645 1424.9529 1421.8412 1418.7296 1415.6179 1412.5063
 [42,] 1446.921 1443.6740 1440.4271 1437.1802 1433.9333 1430.6864 1427.4395
 [43,] 1462.909 1459.5209 1456.1333 1452.7457 1449.3581 1445.9705 1442.5828
 [44,] 1479.139 1475.6053 1472.0715 1468.5377 1465.0040 1461.4702 1457.9364
 [45,] 1495.613 1491.9273 1488.2418 1484.5564 1480.8709 1477.1855 1473.5000
 [46,] 1512.329 1508.4867 1504.6441 1500.8015 1496.9590 1493.1164 1489.2739
 [47,] 1529.289 1525.2835 1521.2784 1517.2733 1513.2681 1509.2630 1505.2578
 [48,] 1546.491 1542.3179 1538.1447 1533.9715 1529.7983 1525.6252 1521.4520
 [49,] 1563.936 1559.5898 1555.2431 1550.8964 1546.5497 1542.2030 1537.8562
 [50,] 1581.625 1577.0991 1572.5734 1568.0478 1563.5221 1558.9964 1554.4707
 [51,] 1599.556 1594.8460 1590.1358 1585.4257 1580.7156 1576.0054 1571.2953
 [52,] 1617.730 1612.8303 1607.9302 1603.0302 1598.1301 1593.2301 1588.3300
 [53,] 1636.148 1631.0521 1625.9567 1620.8612 1615.7658 1610.6704 1605.5749
 [54,] 1654.808 1649.5114 1644.2151 1638.9188 1633.6226 1628.3263 1623.0300
 [55,] 1673.711 1668.2082 1662.7056 1657.2030 1651.7004 1646.1978 1640.6952
 [56,] 1692.857 1687.1425 1681.4281 1675.7137 1669.9993 1664.2849 1658.5706
 [57,] 1712.246 1706.3142 1700.3826 1694.4510 1688.5193 1682.5877 1676.6561
 [58,] 1731.878 1725.7235 1719.5691 1713.4148 1707.2604 1701.1061 1694.9517
 [59,] 1751.753 1745.3702 1738.9877 1732.6052 1726.2226 1719.8401 1713.4576
 [60,] 1771.871 1765.2544 1758.6383 1752.0221 1745.4059 1738.7897 1732.1735
 [61,] 1792.231 1785.3761 1778.5208 1771.6656 1764.8103 1757.9550 1751.0997
 [62,] 1812.835 1805.7353 1798.6355 1791.5356 1784.4357 1777.3358 1770.2360
 [63,] 1833.682 1826.3320 1818.9821 1811.6322 1804.2823 1796.9323 1789.5824
 [64,] 1854.772 1847.1662 1839.5608 1831.9553 1824.3499 1816.7444 1809.1390
 [65,] 1876.104 1868.2379 1860.3714 1852.5050 1844.6386 1836.7722 1828.9058
 [66,] 1897.680 1889.5470 1881.4141 1873.2813 1865.1484 1857.0155 1848.8827
 [67,] 1919.498 1911.0936 1902.6889 1894.2841 1885.8793 1877.4745 1869.0697
 [68,] 1941.560 1932.8778 1924.1956 1915.5134 1906.8313 1898.1491 1889.4669
 [69,] 1963.864 1954.8994 1945.9344 1936.9693 1928.0043 1919.0393 1910.0743
 [70,] 1986.412 1977.1585 1967.9051 1958.6518 1949.3985 1940.1451 1930.8918
 [71,] 2009.202 1999.6550 1990.1079 1980.5608 1971.0137 1961.4666 1951.9195
 [72,] 2032.235 2022.3891 2012.5428 2002.6964 1992.8500 1983.0037 1973.1573
 [73,] 2055.512 2045.3607 2035.2096 2025.0585 2014.9074 2004.7564 1994.6053
 [74,] 2079.031 2068.5697 2058.1085 2047.6472 2037.1859 2026.7247 2016.2634
 [75,] 2102.793 2092.0163 2081.2393 2070.4624 2059.6855 2048.9086 2038.1317
 [76,] 2126.798 2115.7003 2104.6023 2093.5042 2082.4062 2071.3082 2060.2102
 [77,] 2151.046 2139.6218 2128.1972 2116.7726 2105.3480 2093.9234 2082.4988
 [78,] 2175.537 2163.7808 2152.0241 2140.2675 2128.5108 2116.7542 2104.9975
 [79,] 2200.271 2188.1773 2176.0831 2163.9889 2151.8948 2139.8006 2127.7064
 [80,] 2225.248 2212.8112 2200.3741 2187.9369 2175.4998 2163.0626 2150.6255
 [81,] 2250.468 2237.6827 2224.8971 2212.1115 2199.3259 2186.5403 2173.7547
 [82,] 2275.931 2262.7916 2249.6521 2236.5126 2223.3731 2210.2336 2197.0941
 [83,] 2301.637 2288.1381 2274.6392 2261.1403 2247.6414 2234.1425 2220.6436
 [84,] 2327.586 2313.7220 2299.8582 2285.9945 2272.1307 2258.2670 2244.4033
 [85,] 2353.777 2339.5434 2325.3093 2311.0753 2296.8412 2282.6071 2268.3731
 [86,] 2380.212 2365.6023 2350.9924 2336.3826 2321.7728 2307.1629 2292.5531
 [87,] 2406.890 2391.8987 2376.9076 2361.9165 2346.9254 2331.9343 2316.9432
 [88,] 2433.810 2418.4325 2403.0547 2387.6769 2372.2991 2356.9213 2341.5435
 [89,] 2460.974 2445.2039 2429.4339 2413.6639 2397.8939 2382.1239 2366.3539
 [90,] 2488.380 2472.2127 2456.0451 2439.8775 2423.7098 2407.5422 2391.3745
 [91,] 2516.030 2499.4591 2482.8883 2466.3176 2449.7468 2433.1760 2416.6053
 [92,] 2543.922 2526.9429 2509.9635 2492.9842 2476.0049 2459.0255 2442.0462
 [93,] 2572.058 2554.6642 2537.2708 2519.8774 2502.4840 2485.0906 2467.6973
 [94,] 2600.436 2582.6230 2564.8101 2546.9972 2529.1843 2511.3714 2493.5585
 [95,] 2629.057 2610.8193 2592.5814 2574.3435 2556.1056 2537.8677 2519.6298
 [96,] 2657.921 2639.2530 2620.5847 2601.9164 2583.2480 2564.5797 2545.9114
 [97,] 2687.029 2667.9243 2648.8200 2629.7158 2610.6115 2591.5073 2572.4031
 [98,] 2716.379 2696.8330 2677.2874 2657.7418 2638.1961 2618.6505 2599.1049
 [99,] 2745.972 2725.9792 2705.9868 2685.9943 2666.0018 2646.0093 2626.0169
            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
  [1,]  985.3199  983.1356  980.9512  978.7669  976.5825  974.3981  972.2138
  [2,]  991.9304  989.8295  987.7285  985.6276  983.5266  981.4257  979.3247
  [3,]  998.7455  996.7226  994.6996  992.6766  990.6536  988.6306  986.6076
  [4,] 1005.7654 1003.8149 1001.8644  999.9139  997.9634  996.0129  994.0623
  [5,] 1012.9899 1011.1064 1009.2229 1007.3394 1005.4560 1003.5725 1001.6890
  [6,] 1020.4191 1018.5972 1016.7752 1014.9533 1013.1314 1011.3094 1009.4875
  [7,] 1028.0530 1026.2872 1024.5213 1022.7555 1020.9896 1019.2238 1017.4579
  [8,] 1035.8916 1034.1764 1032.4611 1030.7459 1029.0307 1027.3154 1025.6002
  [9,] 1043.9349 1042.2648 1040.5947 1038.9246 1037.2546 1035.5845 1033.9144
 [10,] 1052.1829 1050.5525 1048.9221 1047.2917 1045.6613 1044.0309 1042.4005
 [11,] 1060.6355 1059.0393 1057.4431 1055.8470 1054.2508 1052.6546 1051.0584
 [12,] 1069.2928 1067.7254 1066.1580 1064.5905 1063.0231 1061.4557 1059.8883
 [13,] 1078.1549 1076.6107 1075.0666 1073.5224 1071.9783 1070.4341 1068.8900
 [14,] 1087.2216 1085.6952 1084.1689 1082.6426 1081.1163 1079.5899 1078.0636
 [15,] 1096.4930 1094.9790 1093.4650 1091.9510 1090.4371 1088.9231 1087.4091
 [16,] 1105.9691 1104.4620 1102.9549 1101.4478 1099.9407 1098.4336 1096.9265
 [17,] 1115.6498 1114.1442 1112.6385 1111.1328 1109.6271 1108.1215 1106.6158
 [18,] 1125.5353 1124.0256 1122.5158 1121.0061 1119.4964 1117.9867 1116.4769
 [19,] 1135.6254 1134.1062 1132.5870 1131.0677 1129.5485 1128.0292 1126.5100
 [20,] 1145.9203 1144.3861 1142.8518 1141.3176 1139.7834 1138.2492 1136.7149
 [21,] 1156.4198 1154.8651 1153.3105 1151.7558 1150.2011 1148.6464 1147.0918
 [22,] 1167.1240 1165.5434 1163.9628 1162.3823 1160.8017 1159.2211 1157.6405
 [23,] 1178.0329 1176.4209 1174.8090 1173.1970 1171.5850 1169.9731 1168.3611
 [24,] 1189.1465 1187.4977 1185.8489 1184.2000 1182.5512 1180.9024 1179.2536
 [25,] 1200.4648 1198.7736 1197.0825 1195.3914 1193.7002 1192.0091 1190.3180
 [26,] 1211.9877 1210.2488 1208.5099 1206.7710 1205.0321 1203.2932 1201.5542
 [27,] 1223.7154 1221.9232 1220.1311 1218.3389 1216.5467 1214.7546 1212.9624
 [28,] 1235.6477 1233.7968 1231.9460 1230.0951 1228.2442 1226.3933 1224.5424
 [29,] 1247.7847 1245.8697 1243.9546 1242.0396 1240.1245 1238.2094 1236.2944
 [30,] 1260.1265 1258.1417 1256.1570 1254.1723 1252.1876 1250.2029 1248.2182
 [31,] 1272.6729 1270.6130 1268.5532 1266.4934 1264.4335 1262.3737 1260.3139
 [32,] 1285.4239 1283.2835 1281.1431 1279.0027 1276.8623 1274.7219 1272.5815
 [33,] 1298.3797 1296.1532 1293.9268 1291.7003 1289.4739 1287.2474 1285.0210
 [34,] 1311.5402 1309.2222 1306.9042 1304.5862 1302.2683 1299.9503 1297.6323
 [35,] 1324.9053 1322.4904 1320.0754 1317.6604 1315.2455 1312.8305 1310.4156
 [36,] 1338.4751 1335.9577 1333.4403 1330.9229 1328.4055 1325.8881 1323.3707
 [37,] 1352.2497 1349.6243 1346.9990 1344.3737 1341.7484 1339.1231 1336.4977
 [38,] 1366.2289 1363.4902 1360.7515 1358.0128 1355.2741 1352.5354 1349.7967
 [39,] 1380.4128 1377.5552 1374.6977 1371.8401 1368.9826 1366.1250 1363.2675
 [40,] 1394.8014 1391.8195 1388.8376 1385.8558 1382.8739 1379.8920 1376.9102
 [41,] 1409.3946 1406.2830 1403.1713 1400.0597 1396.9480 1393.8364 1390.7247
 [42,] 1424.1926 1420.9457 1417.6988 1414.4519 1411.2050 1407.9581 1404.7112
 [43,] 1439.1952 1435.8076 1432.4200 1429.0324 1425.6448 1422.2572 1418.8695
 [44,] 1454.4026 1450.8688 1447.3350 1443.8012 1440.2674 1436.7336 1433.1998
 [45,] 1469.8146 1466.1291 1462.4437 1458.7582 1455.0728 1451.3874 1447.7019
 [46,] 1485.4313 1481.5887 1477.7462 1473.9036 1470.0610 1466.2185 1462.3759
 [47,] 1501.2527 1497.2475 1493.2424 1489.2373 1485.2321 1481.2270 1477.2218
 [48,] 1517.2788 1513.1056 1508.9324 1504.7592 1500.5860 1496.4128 1492.2396
 [49,] 1533.5095 1529.1628 1524.8161 1520.4694 1516.1227 1511.7760 1507.4293
 [50,] 1549.9450 1545.4193 1540.8936 1536.3679 1531.8422 1527.3165 1522.7909
 [51,] 1566.5851 1561.8750 1557.1649 1552.4547 1547.7446 1543.0344 1538.3243
 [52,] 1583.4300 1578.5299 1573.6299 1568.7298 1563.8298 1558.9297 1554.0297
 [53,] 1600.4795 1595.3841 1590.2886 1585.1932 1580.0977 1575.0023 1569.9069
 [54,] 1617.7337 1612.4374 1607.1411 1601.8448 1596.5486 1591.2523 1585.9560
 [55,] 1635.1926 1629.6900 1624.1874 1618.6848 1613.1822 1607.6796 1602.1770
 [56,] 1652.8562 1647.1418 1641.4274 1635.7130 1629.9986 1624.2843 1618.5699
 [57,] 1670.7244 1664.7928 1658.8612 1652.9295 1646.9979 1641.0663 1635.1347
 [58,] 1688.7974 1682.6430 1676.4887 1670.3344 1664.1800 1658.0257 1651.8713
 [59,] 1707.0750 1700.6925 1694.3100 1687.9275 1681.5449 1675.1624 1668.7799
 [60,] 1725.5574 1718.9412 1712.3250 1705.7088 1699.0927 1692.4765 1685.8603
 [61,] 1744.2444 1737.3891 1730.5338 1723.6785 1716.8232 1709.9679 1703.1126
 [62,] 1763.1361 1756.0362 1748.9363 1741.8365 1734.7366 1727.6367 1720.5368
 [63,] 1782.2325 1774.8826 1767.5326 1760.1827 1752.8328 1745.4829 1738.1329
 [64,] 1801.5336 1793.9281 1786.3227 1778.7172 1771.1118 1763.5064 1755.9009
 [65,] 1821.0393 1813.1729 1805.3065 1797.4401 1789.5736 1781.7072 1773.8408
 [66,] 1840.7498 1832.6169 1824.4840 1816.3512 1808.2183 1800.0854 1791.9526
 [67,] 1860.6649 1852.2601 1843.8554 1835.4506 1827.0458 1818.6410 1810.2362
 [68,] 1880.7848 1872.1026 1863.4204 1854.7383 1846.0561 1837.3739 1828.6918
 [69,] 1901.1093 1892.1443 1883.1792 1874.2142 1865.2492 1856.2842 1847.3192
 [70,] 1921.6385 1912.3851 1903.1318 1893.8785 1884.6252 1875.3718 1866.1185
 [71,] 1942.3724 1932.8253 1923.2781 1913.7310 1904.1839 1894.6368 1885.0897
 [72,] 1963.3109 1953.4646 1943.6182 1933.7719 1923.9255 1914.0791 1904.2328
 [73,] 1984.4542 1974.3031 1964.1521 1954.0010 1943.8499 1933.6988 1923.5478
 [74,] 2005.8022 1995.3409 1984.8797 1974.4184 1963.9571 1953.4959 1943.0346
 [75,] 2027.3548 2016.5779 2005.8010 1995.0241 1984.2472 1973.4703 1962.6934
 [76,] 2049.1121 2038.0141 2026.9161 2015.8181 2004.7200 1993.6220 1982.5240
 [77,] 2071.0742 2059.6495 2048.2249 2036.8003 2025.3757 2013.9511 2002.5265
 [78,] 2093.2409 2081.4842 2069.7275 2057.9709 2046.2142 2034.4576 2022.7009
 [79,] 2115.6122 2103.5181 2091.4239 2079.3297 2067.2356 2055.1414 2043.0472
 [80,] 2138.1883 2125.7512 2113.3140 2100.8769 2088.4397 2076.0026 2063.5654
 [81,] 2160.9691 2148.1835 2135.3979 2122.6123 2109.8267 2097.0411 2084.2555
 [82,] 2183.9545 2170.8150 2157.6755 2144.5360 2131.3965 2118.2570 2105.1174
 [83,] 2207.1447 2193.6458 2180.1469 2166.6480 2153.1491 2139.6502 2126.1513
 [84,] 2230.5395 2216.6758 2202.8120 2188.9483 2175.0845 2161.2208 2147.3570
 [85,] 2254.1390 2239.9050 2225.6709 2211.4368 2197.2028 2182.9687 2168.7347
 [86,] 2277.9432 2263.3334 2248.7235 2234.1137 2219.5039 2204.8940 2190.2842
 [87,] 2301.9521 2286.9610 2271.9699 2256.9788 2241.9877 2226.9967 2212.0056
 [88,] 2326.1657 2310.7879 2295.4101 2280.0323 2264.6545 2249.2767 2233.8988
 [89,] 2350.5840 2334.8140 2319.0440 2303.2740 2287.5040 2271.7340 2255.9640
 [90,] 2375.2069 2359.0393 2342.8716 2326.7040 2310.5364 2294.3687 2278.2011
 [91,] 2400.0345 2383.4638 2366.8930 2350.3223 2333.7515 2317.1808 2300.6100
 [92,] 2425.0669 2408.0875 2391.1082 2374.1289 2357.1495 2340.1702 2323.1909
 [93,] 2450.3039 2432.9105 2415.5171 2398.1237 2380.7303 2363.3370 2345.9436
 [94,] 2475.7456 2457.9327 2440.1198 2422.3069 2404.4940 2386.6811 2368.8682
 [95,] 2501.3920 2483.1541 2464.9162 2446.6783 2428.4404 2410.2026 2391.9647
 [96,] 2527.2430 2508.5747 2489.9064 2471.2381 2452.5697 2433.9014 2415.2331
 [97,] 2553.2988 2534.1946 2515.0903 2495.9861 2476.8818 2457.7776 2438.6733
 [98,] 2579.5593 2560.0136 2540.4680 2520.9224 2501.3768 2481.8311 2462.2855
 [99,] 2606.0244 2586.0319 2566.0394 2546.0470 2526.0545 2506.0620 2486.0695
           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
  [1,]  970.0294  967.8451  965.6607  963.4763  961.2920  959.1076  956.9233
  [2,]  977.2238  975.1229  973.0219  970.9210  968.8200  966.7191  964.6182
  [3,]  984.5846  982.5616  980.5386  978.5156  976.4927  974.4697  972.4467
  [4,]  992.1118  990.1613  988.2108  986.2603  984.3098  982.3593  980.4088
  [5,]  999.8055  997.9220  996.0385  994.1550  992.2715  990.3881  988.5046
  [6,] 1007.6656 1005.8436 1004.0217 1002.1998 1000.3778  998.5559  996.7339
  [7,] 1015.6921 1013.9262 1012.1603 1010.3945 1008.6286 1006.8628 1005.0969
  [8,] 1023.8850 1022.1697 1020.4545 1018.7393 1017.0240 1015.3088 1013.5936
  [9,] 1032.2443 1030.5742 1028.9041 1027.2340 1025.5640 1023.8939 1022.2238
 [10,] 1040.7701 1039.1397 1037.5093 1035.8789 1034.2485 1032.6181 1030.9877
 [11,] 1049.4622 1047.8660 1046.2699 1044.6737 1043.0775 1041.4813 1039.8851
 [12,] 1058.3208 1056.7534 1055.1860 1053.6185 1052.0511 1050.4837 1048.9162
 [13,] 1067.3458 1065.8017 1064.2575 1062.7134 1061.1692 1059.6251 1058.0810
 [14,] 1076.5373 1075.0109 1073.4846 1071.9583 1070.4320 1068.9056 1067.3793
 [15,] 1085.8951 1084.3812 1082.8672 1081.3532 1079.8392 1078.3252 1076.8113
 [16,] 1095.4194 1093.9123 1092.4052 1090.8981 1089.3910 1087.8839 1086.3768
 [17,] 1105.1101 1103.6044 1102.0988 1100.5931 1099.0874 1097.5817 1096.0760
 [18,] 1114.9672 1113.4575 1111.9478 1110.4380 1108.9283 1107.4186 1105.9089
 [19,] 1124.9908 1123.4715 1121.9523 1120.4330 1118.9138 1117.3946 1115.8753
 [20,] 1135.1807 1133.6465 1132.1123 1130.5781 1129.0438 1127.5096 1125.9754
 [21,] 1145.5371 1143.9824 1142.4278 1140.8731 1139.3184 1137.7637 1136.2091
 [22,] 1156.0599 1154.4793 1152.8987 1151.3181 1149.7376 1148.1570 1146.5764
 [23,] 1166.7491 1165.1372 1163.5252 1161.9132 1160.3012 1158.6893 1157.0773
 [24,] 1177.6048 1175.9560 1174.3071 1172.6583 1171.0095 1169.3607 1167.7119
 [25,] 1188.6268 1186.9357 1185.2446 1183.5534 1181.8623 1180.1712 1178.4800
 [26,] 1199.8153 1198.0764 1196.3375 1194.5986 1192.8597 1191.1207 1189.3818
 [27,] 1211.1702 1209.3781 1207.5859 1205.7937 1204.0016 1202.2094 1200.4172
 [28,] 1222.6916 1220.8407 1218.9898 1217.1389 1215.2880 1213.4371 1211.5863
 [29,] 1234.3793 1232.4642 1230.5492 1228.6341 1226.7190 1224.8040 1222.8889
 [30,] 1246.2335 1244.2488 1242.2640 1240.2793 1238.2946 1236.3099 1234.3252
 [31,] 1258.2541 1256.1942 1254.1344 1252.0746 1250.0147 1247.9549 1245.8951
 [32,] 1270.4411 1268.3007 1266.1602 1264.0198 1261.8794 1259.7390 1257.5986
 [33,] 1282.7945 1280.5680 1278.3416 1276.1151 1273.8887 1271.6622 1269.4357
 [34,] 1295.3143 1292.9964 1290.6784 1288.3604 1286.0424 1283.7245 1281.4065
 [35,] 1308.0006 1305.5857 1303.1707 1300.7557 1298.3408 1295.9258 1293.5109
 [36,] 1320.8533 1318.3359 1315.8185 1313.3011 1310.7837 1308.2663 1305.7489
 [37,] 1333.8724 1331.2471 1328.6218 1325.9965 1323.3711 1320.7458 1318.1205
 [38,] 1347.0580 1344.3193 1341.5805 1338.8418 1336.1031 1333.3644 1330.6257
 [39,] 1360.4099 1357.5524 1354.6948 1351.8373 1348.9797 1346.1221 1343.2646
 [40,] 1373.9283 1370.9464 1367.9645 1364.9827 1362.0008 1359.0189 1356.0371
 [41,] 1387.6131 1384.5014 1381.3898 1378.2781 1375.1665 1372.0548 1368.9432
 [42,] 1401.4643 1398.2174 1394.9705 1391.7236 1388.4767 1385.2298 1381.9829
 [43,] 1415.4819 1412.0943 1408.7067 1405.3191 1401.9315 1398.5439 1395.1562
 [44,] 1429.6660 1426.1322 1422.5984 1419.0646 1415.5308 1411.9970 1408.4632
 [45,] 1444.0165 1440.3310 1436.6456 1432.9601 1429.2747 1425.5892 1421.9038
 [46,] 1458.5334 1454.6908 1450.8482 1447.0057 1443.1631 1439.3206 1435.4780
 [47,] 1473.2167 1469.2115 1465.2064 1461.2013 1457.1961 1453.1910 1449.1858
 [48,] 1488.0664 1483.8932 1479.7200 1475.5469 1471.3737 1467.2005 1463.0273
 [49,] 1503.0826 1498.7359 1494.3892 1490.0425 1485.6958 1481.3491 1477.0023
 [50,] 1518.2652 1513.7395 1509.2138 1504.6881 1500.1624 1495.6367 1491.1110
 [51,] 1533.6142 1528.9040 1524.1939 1519.4838 1514.7736 1510.0635 1505.3533
 [52,] 1549.1296 1544.2295 1539.3295 1534.4294 1529.5294 1524.6293 1519.7293
 [53,] 1564.8114 1559.7160 1554.6206 1549.5251 1544.4297 1539.3343 1534.2388
 [54,] 1580.6597 1575.3634 1570.0671 1564.7709 1559.4746 1554.1783 1548.8820
 [55,] 1596.6744 1591.1718 1585.6692 1580.1666 1574.6640 1569.1614 1563.6588
 [56,] 1612.8555 1607.1411 1601.4267 1595.7124 1589.9980 1584.2836 1578.5692
 [57,] 1629.2030 1623.2714 1617.3398 1611.4081 1605.4765 1599.5449 1593.6132
 [58,] 1645.7170 1639.5626 1633.4083 1627.2539 1621.0996 1614.9452 1608.7909
 [59,] 1662.3973 1656.0148 1649.6323 1643.2498 1636.8672 1630.4847 1624.1022
 [60,] 1679.2441 1672.6280 1666.0118 1659.3956 1652.7794 1646.1632 1639.5471
 [61,] 1696.2573 1689.4020 1682.5468 1675.6915 1668.8362 1661.9809 1655.1256
 [62,] 1713.4370 1706.3371 1699.2372 1692.1373 1685.0375 1677.9376 1670.8377
 [63,] 1730.7830 1723.4331 1716.0832 1708.7333 1701.3833 1694.0334 1686.6835
 [64,] 1748.2955 1740.6901 1733.0846 1725.4792 1717.8737 1710.2683 1702.6629
 [65,] 1765.9744 1758.1080 1750.2415 1742.3751 1734.5087 1726.6423 1718.7759
 [66,] 1783.8197 1775.6868 1767.5540 1759.4211 1751.2882 1743.1554 1735.0225
 [67,] 1801.8314 1793.4267 1785.0219 1776.6171 1768.2123 1759.8075 1751.4027
 [68,] 1820.0096 1811.3274 1802.6453 1793.9631 1785.2809 1776.5988 1767.9166
 [69,] 1838.3542 1829.3891 1820.4241 1811.4591 1802.4941 1793.5291 1784.5641
 [70,] 1856.8652 1847.6118 1838.3585 1829.1052 1819.8518 1810.5985 1801.3452
 [71,] 1875.5426 1865.9955 1856.4484 1846.9012 1837.3541 1827.8070 1818.2599
 [72,] 1894.3864 1884.5401 1874.6937 1864.8473 1855.0010 1845.1546 1835.3082
 [73,] 1913.3967 1903.2456 1893.0945 1882.9434 1872.7924 1862.6413 1852.4902
 [74,] 1932.5734 1922.1121 1911.6508 1901.1896 1890.7283 1880.2671 1869.8058
 [75,] 1951.9165 1941.1395 1930.3626 1919.5857 1908.8088 1898.0319 1887.2550
 [76,] 1971.4260 1960.3280 1949.2299 1938.1319 1927.0339 1915.9359 1904.8378
 [77,] 1991.1019 1979.6773 1968.2527 1956.8281 1945.4035 1933.9789 1922.5543
 [78,] 2010.9443 1999.1876 1987.4310 1975.6743 1963.9177 1952.1610 1940.4044
 [79,] 2030.9531 2018.8589 2006.7647 1994.6706 1982.5764 1970.4822 1958.3880
 [80,] 2051.1283 2038.6911 2026.2540 2013.8168 2001.3797 1988.9425 1976.5054
 [81,] 2071.4699 2058.6843 2045.8987 2033.1131 2020.3275 2007.5419 1994.7563
 [82,] 2091.9779 2078.8384 2065.6989 2052.5594 2039.4199 2026.2804 2013.1408
 [83,] 2112.6524 2099.1535 2085.6546 2072.1557 2058.6568 2045.1579 2031.6590
 [84,] 2133.4933 2119.6295 2105.7658 2091.9020 2078.0383 2064.1746 2050.3108
 [85,] 2154.5006 2140.2665 2126.0325 2111.7984 2097.5643 2083.3303 2069.0962
 [86,] 2175.6743 2161.0645 2146.4546 2131.8448 2117.2349 2102.6251 2088.0153
 [87,] 2197.0145 2182.0234 2167.0323 2152.0412 2137.0501 2122.0590 2107.0679
 [88,] 2218.5210 2203.1432 2187.7654 2172.3876 2157.0098 2141.6320 2126.2542
 [89,] 2240.1940 2224.4240 2208.6541 2192.8841 2177.1141 2161.3441 2145.5741
 [90,] 2262.0334 2245.8658 2229.6982 2213.5305 2197.3629 2181.1953 2165.0276
 [91,] 2284.0393 2267.4685 2250.8978 2234.3270 2217.7563 2201.1855 2184.6148
 [92,] 2306.2115 2289.2322 2272.2529 2255.2735 2238.2942 2221.3148 2204.3355
 [93,] 2328.5502 2311.1568 2293.7634 2276.3700 2258.9767 2241.5833 2224.1899
 [94,] 2351.0553 2333.2424 2315.4295 2297.6166 2279.8037 2261.9908 2244.1779
 [95,] 2373.7268 2355.4889 2337.2510 2319.0132 2300.7753 2282.5374 2264.2995
 [96,] 2396.5647 2377.8964 2359.2281 2340.5598 2321.8914 2303.2231 2284.5548
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 [98,] 2442.7399 2423.1942 2403.6486 2384.1030 2364.5574 2345.0117 2325.4661
 [99,] 2466.0771 2446.0846 2426.0921 2406.0996 2386.1072 2366.1147 2346.1222
           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
  [1,]  954.7389  952.5545  950.3702  948.1858  946.0015  943.8171  941.6328
  [2,]  962.5172  960.4163  958.3153  956.2144  954.1135  952.0125  949.9116
  [3,]  970.4237  968.4007  966.3777  964.3547  962.3317  960.3087  958.2857
  [4,]  978.4583  976.5078  974.5573  972.6068  970.6563  968.7058  966.7553
  [5,]  986.6211  984.7376  982.8541  980.9706  979.0871  977.2036  975.3201
  [6,]  994.9120  993.0901  991.2681  989.4462  987.6243  985.8023  983.9804
  [7,] 1003.3311 1001.5652  999.7994  998.0335  996.2677  994.5018  992.7360
  [8,] 1011.8783 1010.1631 1008.4478 1006.7326 1005.0174 1003.3021 1001.5869
  [9,] 1020.5537 1018.8836 1017.2135 1015.5435 1013.8734 1012.2033 1010.5332
 [10,] 1029.3573 1027.7269 1026.0965 1024.4661 1022.8357 1021.2053 1019.5749
 [11,] 1038.2889 1036.6928 1035.0966 1033.5004 1031.9042 1030.3080 1028.7119
 [12,] 1047.3488 1045.7814 1044.2139 1042.6465 1041.0791 1039.5116 1037.9442
 [13,] 1056.5368 1054.9927 1053.4485 1051.9044 1050.3602 1048.8161 1047.2719
 [14,] 1065.8530 1064.3266 1062.8003 1061.2740 1059.7476 1058.2213 1056.6950
 [15,] 1075.2973 1073.7833 1072.2693 1070.7553 1069.2414 1067.7274 1066.2134
 [16,] 1084.8697 1083.3627 1081.8556 1080.3485 1078.8414 1077.3343 1075.8272
 [17,] 1094.5704 1093.0647 1091.5590 1090.0533 1088.5477 1087.0420 1085.5363
 [18,] 1104.3991 1102.8894 1101.3797 1099.8700 1098.3602 1096.8505 1095.3408
 [19,] 1114.3561 1112.8368 1111.3176 1109.7984 1108.2791 1106.7599 1105.2406
 [20,] 1124.4412 1122.9069 1121.3727 1119.8385 1118.3043 1116.7700 1115.2358
 [21,] 1134.6544 1133.0997 1131.5451 1129.9904 1128.4357 1126.8810 1125.3264
 [22,] 1144.9958 1143.4152 1141.8346 1140.2540 1138.6734 1137.0929 1135.5123
 [23,] 1155.4653 1153.8534 1152.2414 1150.6294 1149.0175 1147.4055 1145.7935
 [24,] 1166.0630 1164.4142 1162.7654 1161.1166 1159.4678 1157.8189 1156.1701
 [25,] 1176.7889 1175.0978 1173.4066 1171.7155 1170.0244 1168.3332 1166.6421
 [26,] 1187.6429 1185.9040 1184.1651 1182.4262 1180.6872 1178.9483 1177.2094
 [27,] 1198.6251 1196.8329 1195.0407 1193.2486 1191.4564 1189.6642 1187.8721
 [28,] 1209.7354 1207.8845 1206.0336 1204.1827 1202.3319 1200.4810 1198.6301
 [29,] 1220.9739 1219.0588 1217.1437 1215.2287 1213.3136 1211.3985 1209.4835
 [30,] 1232.3405 1230.3558 1228.3711 1226.3863 1224.4016 1222.4169 1220.4322
 [31,] 1243.8353 1241.7754 1239.7156 1237.6558 1235.5960 1233.5361 1231.4763
 [32,] 1255.4582 1253.3178 1251.1774 1249.0370 1246.8966 1244.7561 1242.6157
 [33,] 1267.2093 1264.9828 1262.7564 1260.5299 1258.3034 1256.0770 1253.8505
 [34,] 1279.0885 1276.7705 1274.4526 1272.1346 1269.8166 1267.4987 1265.1807
 [35,] 1291.0959 1288.6810 1286.2660 1283.8511 1281.4361 1279.0211 1276.6062
 [36,] 1303.2315 1300.7141 1298.1967 1295.6793 1293.1618 1290.6444 1288.1270
 [37,] 1315.4952 1312.8699 1310.2445 1307.6192 1304.9939 1302.3686 1299.7432
 [38,] 1327.8870 1325.1483 1322.4096 1319.6709 1316.9322 1314.1935 1311.4548
 [39,] 1340.4070 1337.5495 1334.6919 1331.8344 1328.9768 1326.1193 1323.2617
 [40,] 1353.0552 1350.0733 1347.0915 1344.1096 1341.1277 1338.1459 1335.1640
 [41,] 1365.8315 1362.7199 1359.6082 1356.4966 1353.3849 1350.2733 1347.1616
 [42,] 1378.7360 1375.4891 1372.2422 1368.9953 1365.7484 1362.5015 1359.2546
 [43,] 1391.7686 1388.3810 1384.9934 1381.6058 1378.2182 1374.8306 1371.4429
 [44,] 1404.9294 1401.3956 1397.8618 1394.3280 1390.7942 1387.2604 1383.7266
 [45,] 1418.2184 1414.5329 1410.8475 1407.1620 1403.4766 1399.7911 1396.1057
 [46,] 1431.6354 1427.7929 1423.9503 1420.1078 1416.2652 1412.4226 1408.5801
 [47,] 1445.1807 1441.1755 1437.1704 1433.1653 1429.1601 1425.1550 1421.1498
 [48,] 1458.8541 1454.6809 1450.5077 1446.3345 1442.1613 1437.9881 1433.8149
 [49,] 1472.6556 1468.3089 1463.9622 1459.6155 1455.2688 1450.9221 1446.5754
 [50,] 1486.5853 1482.0597 1477.5340 1473.0083 1468.4826 1463.9569 1459.4312
 [51,] 1500.6432 1495.9331 1491.2229 1486.5128 1481.8027 1477.0925 1472.3824
 [52,] 1514.8292 1509.9292 1505.0291 1500.1291 1495.2290 1490.3290 1485.4289
 [53,] 1529.1434 1524.0480 1518.9525 1513.8571 1508.7616 1503.6662 1498.5708
 [54,] 1543.5857 1538.2894 1532.9931 1527.6969 1522.4006 1517.1043 1511.8080
 [55,] 1558.1562 1552.6536 1547.1510 1541.6484 1536.1458 1530.6432 1525.1406
 [56,] 1572.8548 1567.1404 1561.4261 1555.7117 1549.9973 1544.2829 1538.5685
 [57,] 1587.6816 1581.7500 1575.8183 1569.8867 1563.9551 1558.0235 1552.0918
 [58,] 1602.6365 1596.4822 1590.3279 1584.1735 1578.0192 1571.8648 1565.7105
 [59,] 1617.7196 1611.3371 1604.9546 1598.5721 1592.1895 1585.8070 1579.4245
 [60,] 1632.9309 1626.3147 1619.6985 1613.0824 1606.4662 1599.8500 1593.2338
 [61,] 1648.2703 1641.4150 1634.5597 1627.7044 1620.8491 1613.9938 1607.1385
 [62,] 1663.7378 1656.6380 1649.5381 1642.4382 1635.3384 1628.2385 1621.1386
 [63,] 1679.3336 1671.9836 1664.6337 1657.2838 1649.9339 1642.5839 1635.2340
 [64,] 1695.0574 1687.4520 1679.8465 1672.2411 1664.6357 1657.0302 1649.4248
 [65,] 1710.9094 1703.0430 1695.1766 1687.3102 1679.4438 1671.5773 1663.7109
 [66,] 1726.8896 1718.7567 1710.6239 1702.4910 1694.3581 1686.2253 1678.0924
 [67,] 1742.9979 1734.5932 1726.1884 1717.7836 1709.3788 1700.9740 1692.5692
 [68,] 1759.2344 1750.5523 1741.8701 1733.1879 1724.5058 1715.8236 1707.1414
 [69,] 1775.5991 1766.6340 1757.6690 1748.7040 1739.7390 1730.7740 1721.8090
 [70,] 1792.0918 1782.8385 1773.5852 1764.3319 1755.0785 1745.8252 1736.5719
 [71,] 1808.7128 1799.1657 1789.6186 1780.0714 1770.5243 1760.9772 1751.4301
 [72,] 1825.4619 1815.6155 1805.7692 1795.9228 1786.0764 1776.2301 1766.3837
 [73,] 1842.3391 1832.1881 1822.0370 1811.8859 1801.7348 1791.5837 1781.4327
 [74,] 1859.3445 1848.8833 1838.4220 1827.9608 1817.4995 1807.0382 1796.5770
 [75,] 1876.4781 1865.7012 1854.9243 1844.1474 1833.3705 1822.5936 1811.8167
 [76,] 1893.7398 1882.6418 1871.5438 1860.4457 1849.3477 1838.2497 1827.1517
 [77,] 1911.1297 1899.7051 1888.2805 1876.8559 1865.4313 1854.0067 1842.5820
 [78,] 1928.6477 1916.8910 1905.1344 1893.3777 1881.6211 1869.8644 1858.1078
 [79,] 1946.2939 1934.1997 1922.1055 1910.0114 1897.9172 1885.8230 1873.7289
 [80,] 1964.0682 1951.6311 1939.1939 1926.7568 1914.3196 1901.8825 1889.4453
 [81,] 1981.9707 1969.1851 1956.3995 1943.6139 1930.8283 1918.0427 1905.2571
 [82,] 2000.0013 1986.8618 1973.7223 1960.5828 1947.4433 1934.3038 1921.1642
 [83,] 2018.1601 2004.6612 1991.1623 1977.6634 1964.1645 1950.6656 1937.1667
 [84,] 2036.4471 2022.5833 2008.7196 1994.8558 1980.9921 1967.1283 1953.2646
 [85,] 2054.8622 2040.6281 2026.3940 2012.1600 1997.9259 1983.6919 1969.4578
 [86,] 2073.4054 2058.7956 2044.1857 2029.5759 2014.9660 2000.3562 1985.7464
 [87,] 2092.0768 2077.0857 2062.0946 2047.1036 2032.1125 2017.1214 2002.1303
 [88,] 2110.8764 2095.4986 2080.1208 2064.7430 2049.3652 2033.9874 2018.6095
 [89,] 2129.8041 2114.0341 2098.2641 2082.4941 2066.7241 2050.9542 2035.1842
 [90,] 2148.8600 2132.6923 2116.5247 2100.3571 2084.1894 2068.0218 2051.8542
 [91,] 2168.0440 2151.4732 2134.9025 2118.3317 2101.7610 2085.1902 2068.6195
 [92,] 2187.3562 2170.3768 2153.3975 2136.4182 2119.4388 2102.4595 2085.4802
 [93,] 2206.7965 2189.4031 2172.0097 2154.6164 2137.2230 2119.8296 2102.4362
 [94,] 2226.3650 2208.5521 2190.7392 2172.9263 2155.1134 2137.3005 2119.4876
 [95,] 2246.0616 2227.8238 2209.5859 2191.3480 2173.1101 2154.8722 2136.6344
 [96,] 2265.8864 2247.2181 2228.5498 2209.8814 2191.2131 2172.5448 2153.8765
 [97,] 2285.8394 2266.7351 2247.6309 2228.5266 2209.4224 2190.3182 2171.2139
 [98,] 2305.9205 2286.3749 2266.8292 2247.2836 2227.7380 2208.1924 2188.6467
 [99,] 2326.1297 2306.1373 2286.1448 2266.1523 2246.1598 2226.1674 2206.1749
           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
  [1,]  939.4484  937.2640  935.0797  932.8953  930.7110  928.5266  926.3422
  [2,]  947.8106  945.7097  943.6087  941.5078  939.4069  937.3059  935.2050
  [3,]  956.2627  954.2398  952.2168  950.1938  948.1708  946.1478  944.1248
  [4,]  964.8048  962.8543  960.9037  958.9532  957.0027  955.0522  953.1017
  [5,]  973.4367  971.5532  969.6697  967.7862  965.9027  964.0192  962.1357
  [6,]  982.1584  980.3365  978.5146  976.6926  974.8707  973.0488  971.2268
  [7,]  990.9701  989.2043  987.4384  985.6726  983.9067  982.1408  980.3750
  [8,]  999.8717  998.1564  996.4412  994.7260  993.0107  991.2955  989.5803
  [9,] 1008.8631 1007.1930 1005.5229 1003.8529 1002.1828 1000.5127  998.8426
 [10,] 1017.9445 1016.3141 1014.6837 1013.0533 1011.4229 1009.7925 1008.1621
 [11,] 1027.1157 1025.5195 1023.9233 1022.3271 1020.7309 1019.1348 1017.5386
 [12,] 1036.3768 1034.8093 1033.2419 1031.6745 1030.1071 1028.5396 1026.9722
 [13,] 1045.7278 1044.1836 1042.6395 1041.0953 1039.5512 1038.0070 1036.4629
 [14,] 1055.1687 1053.6423 1052.1160 1050.5897 1049.0633 1047.5370 1046.0107
 [15,] 1064.6994 1063.1855 1061.6715 1060.1575 1058.6435 1057.1295 1055.6156
 [16,] 1074.3201 1072.8130 1071.3059 1069.7988 1068.2917 1066.7846 1065.2775
 [17,] 1084.0306 1082.5250 1081.0193 1079.5136 1078.0079 1076.5023 1074.9966
 [18,] 1093.8311 1092.3213 1090.8116 1089.3019 1087.7922 1086.2824 1084.7727
 [19,] 1103.7214 1102.2022 1100.6829 1099.1637 1097.6444 1096.1252 1094.6059
 [20,] 1113.7016 1112.1674 1110.6332 1109.0989 1107.5647 1106.0305 1104.4963
 [21,] 1123.7717 1122.2170 1120.6624 1119.1077 1117.5530 1115.9983 1114.4437
 [22,] 1133.9317 1132.3511 1130.7705 1129.1899 1127.6093 1126.0287 1124.4482
 [23,] 1144.1816 1142.5696 1140.9576 1139.3456 1137.7337 1136.1217 1134.5097
 [24,] 1154.5213 1152.8725 1151.2237 1149.5749 1147.9260 1146.2772 1144.6284
 [25,] 1164.9510 1163.2598 1161.5687 1159.8776 1158.1864 1156.4953 1154.8041
 [26,] 1175.4705 1173.7316 1171.9927 1170.2537 1168.5148 1166.7759 1165.0370
 [27,] 1186.0799 1184.2877 1182.4956 1180.7034 1178.9112 1177.1191 1175.3269
 [28,] 1196.7792 1194.9283 1193.0775 1191.2266 1189.3757 1187.5248 1185.6739
 [29,] 1207.5684 1205.6534 1203.7383 1201.8232 1199.9082 1197.9931 1196.0780
 [30,] 1218.4475 1216.4628 1214.4781 1212.4934 1210.5086 1208.5239 1206.5392
 [31,] 1229.4165 1227.3566 1225.2968 1223.2370 1221.1772 1219.1173 1217.0575
 [32,] 1240.4753 1238.3349 1236.1945 1234.0541 1231.9137 1229.7733 1227.6329
 [33,] 1251.6241 1249.3976 1247.1712 1244.9447 1242.7182 1240.4918 1238.2653
 [34,] 1262.8627 1260.5447 1258.2268 1255.9088 1253.5908 1251.2728 1248.9549
 [35,] 1274.1912 1271.7763 1269.3613 1266.9464 1264.5314 1262.1164 1259.7015
 [36,] 1285.6096 1283.0922 1280.5748 1278.0574 1275.5400 1273.0226 1270.5052
 [37,] 1297.1179 1294.4926 1291.8673 1289.2420 1286.6166 1283.9913 1281.3660
 [38,] 1308.7161 1305.9774 1303.2387 1300.5000 1297.7613 1295.0226 1292.2839
 [39,] 1320.4042 1317.5466 1314.6891 1311.8315 1308.9740 1306.1164 1303.2589
 [40,] 1332.1821 1329.2003 1326.2184 1323.2365 1320.2547 1317.2728 1314.2909
 [41,] 1344.0500 1340.9383 1337.8267 1334.7150 1331.6034 1328.4917 1325.3801
 [42,] 1356.0077 1352.7608 1349.5139 1346.2670 1343.0201 1339.7732 1336.5263
 [43,] 1368.0553 1364.6677 1361.2801 1357.8925 1354.5049 1351.1173 1347.7296
 [44,] 1380.1928 1376.6590 1373.1252 1369.5915 1366.0577 1362.5239 1358.9901
 [45,] 1392.4202 1388.7348 1385.0493 1381.3639 1377.6785 1373.9930 1370.3076
 [46,] 1404.7375 1400.8950 1397.0524 1393.2098 1389.3673 1385.5247 1381.6822
 [47,] 1417.1447 1413.1395 1409.1344 1405.1293 1401.1241 1397.1190 1393.1138
 [48,] 1429.6417 1425.4686 1421.2954 1417.1222 1412.9490 1408.7758 1404.6026
 [49,] 1442.2287 1437.8820 1433.5353 1429.1886 1424.8419 1420.4952 1416.1484
 [50,] 1454.9055 1450.3798 1445.8541 1441.3285 1436.8028 1432.2771 1427.7514
 [51,] 1467.6722 1462.9621 1458.2520 1453.5418 1448.8317 1444.1216 1439.4114
 [52,] 1480.5288 1475.6288 1470.7287 1465.8287 1460.9286 1456.0286 1451.1285
 [53,] 1493.4753 1488.3799 1483.2845 1478.1890 1473.0936 1467.9982 1462.9027
 [54,] 1506.5117 1501.2154 1495.9192 1490.6229 1485.3266 1480.0303 1474.7340
 [55,] 1519.6380 1514.1354 1508.6328 1503.1302 1497.6276 1492.1250 1486.6224
 [56,] 1532.8542 1527.1398 1521.4254 1515.7110 1509.9966 1504.2822 1498.5679
 [57,] 1546.1602 1540.2286 1534.2969 1528.3653 1522.4337 1516.5020 1510.5704
 [58,] 1559.5561 1553.4018 1547.2474 1541.0931 1534.9387 1528.7844 1522.6300
 [59,] 1573.0419 1566.6594 1560.2769 1553.8944 1547.5118 1541.1293 1534.7468
 [60,] 1586.6177 1580.0015 1573.3853 1566.7691 1560.1529 1553.5368 1546.9206
 [61,] 1600.2832 1593.4280 1586.5727 1579.7174 1572.8621 1566.0068 1559.1515
 [62,] 1614.0387 1606.9389 1599.8390 1592.7391 1585.6392 1578.5394 1571.4395
 [63,] 1627.8841 1620.5342 1613.1843 1605.8343 1598.4844 1591.1345 1583.7846
 [64,] 1641.8194 1634.2139 1626.6085 1619.0030 1611.3976 1603.7922 1596.1867
 [65,] 1655.8445 1647.9781 1640.1117 1632.2452 1624.3788 1616.5124 1608.6460
 [66,] 1669.9595 1661.8267 1653.6938 1645.5609 1637.4281 1629.2952 1621.1623
 [67,] 1684.1644 1675.7597 1667.3549 1658.9501 1650.5453 1642.1405 1633.7357
 [68,] 1698.4593 1689.7771 1681.0949 1672.4128 1663.7306 1655.0484 1646.3663
 [69,] 1712.8439 1703.8789 1694.9139 1685.9489 1676.9839 1668.0189 1659.0539
 [70,] 1727.3185 1718.0652 1708.8119 1699.5585 1690.3052 1681.0519 1671.7985
 [71,] 1741.8830 1732.3359 1722.7888 1713.2417 1703.6945 1694.1474 1684.6003
 [72,] 1756.5374 1746.6910 1736.8446 1726.9983 1717.1519 1707.3055 1697.4592
 [73,] 1771.2816 1761.1305 1750.9794 1740.8284 1730.6773 1720.5262 1710.3751
 [74,] 1786.1157 1775.6545 1765.1932 1754.7319 1744.2707 1733.8094 1723.3482
 [75,] 1801.0397 1790.2628 1779.4859 1768.7090 1757.9321 1747.1552 1736.3783
 [76,] 1816.0537 1804.9556 1793.8576 1782.7596 1771.6616 1760.5635 1749.4655
 [77,] 1831.1574 1819.7328 1808.3082 1796.8836 1785.4590 1774.0344 1762.6098
 [78,] 1846.3511 1834.5945 1822.8378 1811.0812 1799.3245 1787.5679 1775.8112
 [79,] 1861.6347 1849.5405 1837.4464 1825.3522 1813.2580 1801.1638 1789.0697
 [80,] 1877.0081 1864.5710 1852.1338 1839.6967 1827.2595 1814.8224 1802.3852
 [81,] 1892.4715 1879.6859 1866.9003 1854.1147 1841.3291 1828.5435 1815.7579
 [82,] 1908.0247 1894.8852 1881.7457 1868.6062 1855.4667 1842.3271 1829.1876
 [83,] 1923.6678 1910.1689 1896.6700 1883.1711 1869.6723 1856.1734 1842.6745
 [84,] 1939.4008 1925.5371 1911.6734 1897.8096 1883.9459 1870.0821 1856.2184
 [85,] 1955.2237 1940.9897 1926.7556 1912.5216 1898.2875 1884.0534 1869.8194
 [86,] 1971.1365 1956.5267 1941.9168 1927.3070 1912.6971 1898.0873 1883.4775
 [87,] 1987.1392 1972.1481 1957.1570 1942.1659 1927.1748 1912.1837 1897.1926
 [88,] 2003.2317 1987.8539 1972.4761 1957.0983 1941.7205 1926.3427 1910.9649
 [89,] 2019.4142 2003.6442 1987.8742 1972.1042 1956.3342 1940.5642 1924.7942
 [90,] 2035.6865 2019.5189 2003.3512 1987.1836 1971.0160 1954.8483 1938.6807
 [91,] 2052.0487 2035.4780 2018.9072 2002.3365 1985.7657 1969.1950 1952.6242
 [92,] 2068.5008 2051.5215 2034.5422 2017.5628 2000.5835 1983.6042 1966.6248
 [93,] 2085.0428 2067.6494 2050.2561 2032.8627 2015.4693 1998.0759 1980.6825
 [94,] 2101.6747 2083.8618 2066.0489 2048.2360 2030.4231 2012.6102 1994.7973
 [95,] 2118.3965 2100.1586 2081.9207 2063.6828 2045.4450 2027.2071 2008.9692
 [96,] 2135.2081 2116.5398 2097.8715 2079.2031 2060.5348 2041.8665 2023.1982
 [97,] 2152.1097 2133.0054 2113.9012 2094.7969 2075.6927 2056.5884 2037.4842
 [98,] 2169.1011 2149.5555 2130.0098 2110.4642 2090.9186 2071.3730 2051.8273
 [99,] 2186.1824 2166.1899 2146.1975 2126.2050 2106.2125 2086.2200 2066.2276
           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
  [1,]  924.1579  921.9735  919.7892  917.6048  915.4204  913.2361  911.0517
  [2,]  933.1040  931.0031  928.9022  926.8012  924.7003  922.5993  920.4984
  [3,]  942.1018  940.0788  938.0558  936.0328  934.0099  931.9869  929.9639
  [4,]  951.1512  949.2007  947.2502  945.2997  943.3492  941.3987  939.4482
  [5,]  960.2522  958.3687  956.4853  954.6018  952.7183  950.8348  948.9513
  [6,]  969.4049  967.5829  965.7610  963.9391  962.1171  960.2952  958.4733
  [7,]  978.6091  976.8433  975.0774  973.3116  971.5457  969.7799  968.0140
  [8,]  987.8650  986.1498  984.4346  982.7193  981.0041  979.2888  977.5736
  [9,]  997.1725  995.5024  993.8324  992.1623  990.4922  988.8221  987.1520
 [10,] 1006.5317 1004.9013 1003.2709 1001.6405 1000.0101  998.3797  996.7493
 [11,] 1015.9424 1014.3462 1012.7500 1011.1538 1009.5577 1007.9615 1006.3653
 [12,] 1025.4048 1023.8373 1022.2699 1020.7025 1019.1350 1017.5676 1016.0002
 [13,] 1034.9187 1033.3746 1031.8305 1030.2863 1028.7422 1027.1980 1025.6539
 [14,] 1044.4844 1042.9580 1041.4317 1039.9054 1038.3790 1036.8527 1035.3264
 [15,] 1054.1016 1052.5876 1051.0736 1049.5597 1048.0457 1046.5317 1045.0177
 [16,] 1063.7704 1062.2633 1060.7562 1059.2492 1057.7421 1056.2350 1054.7279
 [17,] 1073.4909 1071.9852 1070.4796 1068.9739 1067.4682 1065.9625 1064.4568
 [18,] 1083.2630 1081.7533 1080.2435 1078.7338 1077.2241 1075.7144 1074.2046
 [19,] 1093.0867 1091.5675 1090.0482 1088.5290 1087.0097 1085.4905 1083.9713
 [20,] 1102.9620 1101.4278 1099.8936 1098.3594 1096.8251 1095.2909 1093.7567
 [21,] 1112.8890 1111.3343 1109.7796 1108.2250 1106.6703 1105.1156 1103.5610
 [22,] 1122.8676 1121.2870 1119.7064 1118.1258 1116.5452 1114.9646 1113.3840
 [23,] 1132.8978 1131.2858 1129.6738 1128.0619 1126.4499 1124.8379 1123.2259
 [24,] 1142.9796 1141.3308 1139.6819 1138.0331 1136.3843 1134.7355 1133.0867
 [25,] 1153.1130 1151.4219 1149.7307 1148.0396 1146.3485 1144.6573 1142.9662
 [26,] 1163.2981 1161.5592 1159.8202 1158.0813 1156.3424 1154.6035 1152.8646
 [27,] 1173.5348 1171.7426 1169.9504 1168.1583 1166.3661 1164.5739 1162.7818
 [28,] 1183.8231 1181.9722 1180.1213 1178.2704 1176.4195 1174.5686 1172.7178
 [29,] 1194.1630 1192.2479 1190.3328 1188.4178 1186.5027 1184.5877 1182.6726
 [30,] 1204.5545 1202.5698 1200.5851 1198.6004 1196.6157 1194.6309 1192.6462
 [31,] 1214.9977 1212.9378 1210.8780 1208.8182 1206.7584 1204.6985 1202.6387
 [32,] 1225.4925 1223.3520 1221.2116 1219.0712 1216.9308 1214.7904 1212.6500
 [33,] 1236.0389 1233.8124 1231.5859 1229.3595 1227.1330 1224.9066 1222.6801
 [34,] 1246.6369 1244.3189 1242.0009 1239.6830 1237.3650 1235.0470 1232.7290
 [35,] 1257.2865 1254.8716 1252.4566 1250.0417 1247.6267 1245.2117 1242.7968
 [36,] 1267.9878 1265.4704 1262.9530 1260.4356 1257.9182 1255.4008 1252.8834
 [37,] 1278.7407 1276.1154 1273.4900 1270.8647 1268.2394 1265.6141 1262.9888
 [38,] 1289.5452 1286.8065 1284.0678 1281.3291 1278.5904 1275.8517 1273.1130
 [39,] 1300.4013 1297.5438 1294.6862 1291.8287 1288.9711 1286.1136 1283.2560
 [40,] 1311.3091 1308.3272 1305.3453 1302.3635 1299.3816 1296.3997 1293.4179
 [41,] 1322.2684 1319.1568 1316.0451 1312.9335 1309.8218 1306.7102 1303.5985
 [42,] 1333.2794 1330.0325 1326.7856 1323.5387 1320.2918 1317.0449 1313.7980
 [43,] 1344.3420 1340.9544 1337.5668 1334.1792 1330.7916 1327.4040 1324.0164
 [44,] 1355.4563 1351.9225 1348.3887 1344.8549 1341.3211 1337.7873 1334.2535
 [45,] 1366.6221 1362.9367 1359.2512 1355.5658 1351.8803 1348.1949 1344.5094
 [46,] 1377.8396 1373.9970 1370.1545 1366.3119 1362.4694 1358.6268 1354.7842
 [47,] 1389.1087 1385.1035 1381.0984 1377.0933 1373.0881 1369.0830 1365.0778
 [48,] 1400.4294 1396.2562 1392.0830 1387.9098 1383.7366 1379.5634 1375.3903
 [49,] 1411.8017 1407.4550 1403.1083 1398.7616 1394.4149 1390.0682 1385.7215
 [50,] 1423.2257 1418.7000 1414.1743 1409.6486 1405.1229 1400.5973 1396.0716
 [51,] 1434.7013 1429.9911 1425.2810 1420.5709 1415.8607 1411.1506 1406.4404
 [52,] 1446.2285 1441.3284 1436.4284 1431.5283 1426.6283 1421.7282 1416.8282
 [53,] 1457.8073 1452.7119 1447.6164 1442.5210 1437.4256 1432.3301 1427.2347
 [54,] 1469.4377 1464.1414 1458.8452 1453.5489 1448.2526 1442.9563 1437.6600
 [55,] 1481.1198 1475.6172 1470.1146 1464.6120 1459.1094 1453.6068 1448.1042
 [56,] 1492.8535 1487.1391 1481.4247 1475.7103 1469.9959 1464.2816 1458.5672
 [57,] 1504.6388 1498.7071 1492.7755 1486.8439 1480.9123 1474.9806 1469.0490
 [58,] 1516.4757 1510.3214 1504.1670 1498.0127 1491.8583 1485.7040 1479.5496
 [59,] 1528.3642 1521.9817 1515.5992 1509.2167 1502.8341 1496.4516 1490.0691
 [60,] 1540.3044 1533.6882 1527.0721 1520.4559 1513.8397 1507.2235 1500.6074
 [61,] 1552.2962 1545.4409 1538.5856 1531.7303 1524.8750 1518.0197 1511.1644
 [62,] 1564.3396 1557.2397 1550.1399 1543.0400 1535.9401 1528.8402 1521.7404
 [63,] 1576.4346 1569.0847 1561.7348 1554.3849 1547.0349 1539.6850 1532.3351
 [64,] 1588.5813 1580.9758 1573.3704 1565.7650 1558.1595 1550.5541 1542.9487
 [65,] 1600.7796 1592.9131 1585.0467 1577.1803 1569.3139 1561.4474 1553.5810
 [66,] 1613.0294 1604.8966 1596.7637 1588.6308 1580.4980 1572.3651 1564.2322
 [67,] 1625.3310 1616.9262 1608.5214 1600.1166 1591.7118 1583.3070 1574.9022
 [68,] 1637.6841 1629.0019 1620.3198 1611.6376 1602.9554 1594.2732 1585.5911
 [69,] 1650.0888 1641.1238 1632.1588 1623.1938 1614.2288 1605.2638 1596.2987
 [70,] 1662.5452 1653.2919 1644.0385 1634.7852 1625.5319 1616.2786 1607.0252
 [71,] 1675.0532 1665.5061 1655.9590 1646.4119 1636.8648 1627.3176 1617.7705
 [72,] 1687.6128 1677.7665 1667.9201 1658.0737 1648.2274 1638.3810 1628.5346
 [73,] 1700.2241 1690.0730 1679.9219 1669.7708 1659.6197 1649.4687 1639.3176
 [74,] 1712.8869 1702.4257 1691.9644 1681.5031 1671.0419 1660.5806 1650.1194
 [75,] 1725.6014 1714.8245 1704.0476 1693.2707 1682.4938 1671.7169 1660.9399
 [76,] 1738.3675 1727.2695 1716.1714 1705.0734 1693.9754 1682.8774 1671.7793
 [77,] 1751.1852 1739.7606 1728.3360 1716.9114 1705.4868 1694.0622 1682.6376
 [78,] 1764.0545 1752.2979 1740.5412 1728.7846 1717.0279 1705.2713 1693.5146
 [79,] 1776.9755 1764.8813 1752.7872 1740.6930 1728.5988 1716.5047 1704.4105
 [80,] 1789.9481 1777.5109 1765.0738 1752.6366 1740.1995 1727.7623 1715.3252
 [81,] 1802.9723 1790.1867 1777.4011 1764.6155 1751.8299 1739.0443 1726.2587
 [82,] 1816.0481 1802.9086 1789.7691 1776.6296 1763.4901 1750.3505 1737.2110
 [83,] 1829.1756 1815.6767 1802.1778 1788.6789 1775.1800 1761.6811 1748.1822
 [84,] 1842.3546 1828.4909 1814.6271 1800.7634 1786.8996 1773.0359 1759.1721
 [85,] 1855.5853 1841.3512 1827.1172 1812.8831 1798.6491 1784.4150 1770.1809
 [86,] 1868.8676 1854.2578 1839.6479 1825.0381 1810.4282 1795.8184 1781.2086
 [87,] 1882.2015 1867.2105 1852.2194 1837.2283 1822.2372 1807.2461 1792.2550
 [88,] 1895.5871 1880.2093 1864.8315 1849.4537 1834.0759 1818.6981 1803.3202
 [89,] 1909.0243 1893.2543 1877.4843 1861.7143 1845.9443 1830.1743 1814.4043
 [90,] 1922.5130 1906.3454 1890.1778 1874.0101 1857.8425 1841.6749 1825.5072
 [91,] 1936.0535 1919.4827 1902.9120 1886.3412 1869.7704 1853.1997 1836.6289
 [92,] 1949.6455 1932.6662 1915.6868 1898.7075 1881.7282 1864.7488 1847.7695
 [93,] 1963.2891 1945.8958 1928.5024 1911.1090 1893.7156 1876.3222 1858.9288
 [94,] 1976.9844 1959.1715 1941.3586 1923.5457 1905.7328 1887.9199 1870.1070
 [95,] 1990.7313 1972.4934 1954.2555 1936.0177 1917.7798 1899.5419 1881.3040
 [96,] 2004.5298 1985.8615 1967.1932 1948.5248 1929.8565 1911.1882 1892.5198
 [97,] 2018.3800 1999.2757 1980.1715 1961.0672 1941.9630 1922.8587 1903.7545
 [98,] 2032.2817 2012.7361 1993.1905 1973.6448 1954.0992 1934.5536 1915.0080
 [99,] 2046.2351 2026.2426 2006.2501 1986.2577 1966.2652 1946.2727 1926.2802
           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
  [1,]  908.8674  906.6830  904.4986  902.3143  900.1299  897.9456  895.7612
  [2,]  918.3974  916.2965  914.1956  912.0946  909.9937  907.8927  905.7918
  [3,]  927.9409  925.9179  923.8949  921.8719  919.8489  917.8259  915.8029
  [4,]  937.4977  935.5472  933.5967  931.6462  929.6956  927.7451  925.7946
  [5,]  947.0678  945.1843  943.3008  941.4174  939.5339  937.6504  935.7669
  [6,]  956.6513  954.8294  953.0074  951.1855  949.3636  947.5416  945.7197
  [7,]  966.2482  964.4823  962.7165  960.9506  959.1848  957.4189  955.6530
  [8,]  975.8584  974.1431  972.4279  970.7127  968.9974  967.2822  965.5670
  [9,]  985.4819  983.8119  982.1418  980.4717  978.8016  977.1315  975.4614
 [10,]  995.1189  993.4885  991.8581  990.2277  988.5973  986.9669  985.3365
 [11,] 1004.7691 1003.1729 1001.5768  999.9806  998.3844  996.7882  995.1920
 [12,] 1014.4327 1012.8653 1011.2979 1009.7304 1008.1630 1006.5956 1005.0282
 [13,] 1024.1097 1022.5656 1021.0214 1019.4773 1017.9331 1016.3890 1014.8448
 [14,] 1033.8001 1032.2737 1030.7474 1029.2211 1027.6947 1026.1684 1024.6421
 [15,] 1043.5037 1041.9898 1040.4758 1038.9618 1037.4478 1035.9338 1034.4199
 [16,] 1053.2208 1051.7137 1050.2066 1048.6995 1047.1924 1045.6853 1044.1782
 [17,] 1062.9512 1061.4455 1059.9398 1058.4341 1056.9285 1055.4228 1053.9171
 [18,] 1072.6949 1071.1852 1069.6755 1068.1657 1066.6560 1065.1463 1063.6366
 [19,] 1082.4520 1080.9328 1079.4135 1077.8943 1076.3751 1074.8558 1073.3366
 [20,] 1092.2225 1090.6883 1089.1540 1087.6198 1086.0856 1084.5514 1083.0171
 [21,] 1102.0063 1100.4516 1098.8969 1097.3423 1095.7876 1094.2329 1092.6783
 [22,] 1111.8035 1110.2229 1108.6423 1107.0617 1105.4811 1103.9005 1102.3199
 [23,] 1121.6140 1120.0020 1118.3900 1116.7781 1115.1661 1113.5541 1111.9422
 [24,] 1131.4378 1129.7890 1128.1402 1126.4914 1124.8426 1123.1938 1121.5449
 [25,] 1141.2751 1139.5839 1137.8928 1136.2017 1134.5105 1132.8194 1131.1283
 [26,] 1151.1257 1149.3867 1147.6478 1145.9089 1144.1700 1142.4311 1140.6922
 [27,] 1160.9896 1159.1974 1157.4053 1155.6131 1153.8209 1152.0288 1150.2366
 [28,] 1170.8669 1169.0160 1167.1651 1165.3142 1163.4634 1161.6125 1159.7616
 [29,] 1180.7575 1178.8425 1176.9274 1175.0123 1173.0973 1171.1822 1169.2671
 [30,] 1190.6615 1188.6768 1186.6921 1184.7074 1182.7227 1180.7380 1178.7533
 [31,] 1200.5789 1198.5191 1196.4592 1194.3994 1192.3396 1190.2797 1188.2199
 [32,] 1210.5096 1208.3692 1206.2288 1204.0884 1201.9479 1199.8075 1197.6671
 [33,] 1220.4536 1218.2272 1216.0007 1213.7743 1211.5478 1209.3214 1207.0949
 [34,] 1230.4111 1228.0931 1225.7751 1223.4571 1221.1392 1218.8212 1216.5032
 [35,] 1240.3818 1237.9669 1235.5519 1233.1370 1230.7220 1228.3070 1225.8921
 [36,] 1250.3660 1247.8485 1245.3311 1242.8137 1240.2963 1237.7789 1235.2615
 [37,] 1260.3634 1257.7381 1255.1128 1252.4875 1249.8621 1247.2368 1244.6115
 [38,] 1270.3743 1267.6356 1264.8969 1262.1582 1259.4195 1256.6807 1253.9420
 [39,] 1280.3984 1277.5409 1274.6833 1271.8258 1268.9682 1266.1107 1263.2531
 [40,] 1290.4360 1287.4541 1284.4723 1281.4904 1278.5085 1275.5267 1272.5448
 [41,] 1300.4869 1297.3752 1294.2636 1291.1519 1288.0403 1284.9286 1281.8170
 [42,] 1310.5511 1307.3042 1304.0573 1300.8104 1297.5635 1294.3166 1291.0697
 [43,] 1320.6287 1317.2411 1313.8535 1310.4659 1307.0783 1303.6907 1300.3031
 [44,] 1330.7197 1327.1859 1323.6521 1320.1183 1316.5845 1313.0507 1309.5169
 [45,] 1340.8240 1337.1386 1333.4531 1329.7677 1326.0822 1322.3968 1318.7113
 [46,] 1350.9417 1347.0991 1343.2565 1339.4140 1335.5714 1331.7289 1327.8863
 [47,] 1361.0727 1357.0675 1353.0624 1349.0573 1345.0521 1341.0470 1337.0418
 [48,] 1371.2171 1367.0439 1362.8707 1358.6975 1354.5243 1350.3511 1346.1779
 [49,] 1381.3748 1377.0281 1372.6814 1368.3347 1363.9880 1359.6413 1355.2945
 [50,] 1391.5459 1387.0202 1382.4945 1377.9688 1373.4431 1368.9174 1364.3917
 [51,] 1401.7303 1397.0202 1392.3100 1387.5999 1382.8898 1378.1796 1373.4695
 [52,] 1411.9281 1407.0280 1402.1280 1397.2279 1392.3279 1387.4278 1382.5278
 [53,] 1422.1392 1417.0438 1411.9484 1406.8529 1401.7575 1396.6621 1391.5666
 [54,] 1432.3637 1427.0675 1421.7712 1416.4749 1411.1786 1405.8823 1400.5860
 [55,] 1442.6016 1437.0990 1431.5964 1426.0938 1420.5912 1415.0886 1409.5860
 [56,] 1452.8528 1447.1384 1441.4240 1435.7097 1429.9953 1424.2809 1418.5665
 [57,] 1463.1174 1457.1857 1451.2541 1445.3225 1439.3908 1433.4592 1427.5276
 [58,] 1473.3953 1467.2409 1461.0866 1454.9322 1448.7779 1442.6235 1436.4692
 [59,] 1483.6866 1477.3040 1470.9215 1464.5390 1458.1564 1451.7739 1445.3914
 [60,] 1493.9912 1487.3750 1480.7588 1474.1426 1467.5265 1460.9103 1454.2941
 [61,] 1504.3092 1497.4539 1490.5986 1483.7433 1476.8880 1470.0327 1463.1774
 [62,] 1514.6405 1507.5406 1500.4407 1493.3409 1486.2410 1479.1411 1472.0412
 [63,] 1524.9852 1517.6352 1510.2853 1502.9354 1495.5855 1488.2356 1480.8856
 [64,] 1535.3432 1527.7378 1520.1323 1512.5269 1504.9215 1497.3160 1489.7106
 [65,] 1545.7146 1537.8482 1529.9818 1522.1153 1514.2489 1506.3825 1498.5161
 [66,] 1556.0994 1547.9665 1539.8336 1531.7007 1523.5679 1515.4350 1507.3021
 [67,] 1566.4975 1558.0927 1549.6879 1541.2831 1532.8783 1524.4735 1516.0687
 [68,] 1576.9089 1568.2267 1559.5446 1550.8624 1542.1802 1533.4981 1524.8159
 [69,] 1587.3337 1578.3687 1569.4037 1560.4387 1551.4737 1542.5086 1533.5436
 [70,] 1597.7719 1588.5186 1579.2652 1570.0119 1560.7586 1551.5052 1542.2519
 [71,] 1608.2234 1598.6763 1589.1292 1579.5821 1570.0350 1560.4878 1550.9407
 [72,] 1618.6883 1608.8419 1598.9956 1589.1492 1579.3028 1569.4565 1559.6101
 [73,] 1629.1665 1619.0154 1608.8644 1598.7133 1588.5622 1578.4111 1568.2601
 [74,] 1639.6581 1629.1968 1618.7356 1608.2743 1597.8131 1587.3518 1576.8905
 [75,] 1650.1630 1639.3861 1628.6092 1617.8323 1607.0554 1596.2785 1585.5016
 [76,] 1660.6813 1649.5833 1638.4853 1627.3873 1616.2892 1605.1912 1594.0932
 [77,] 1671.2130 1659.7884 1648.3638 1636.9392 1625.5145 1614.0899 1602.6653
 [78,] 1681.7580 1670.0013 1658.2447 1646.4880 1634.7314 1622.9747 1611.2180
 [79,] 1692.3163 1680.2222 1668.1280 1656.0338 1643.9396 1631.8455 1619.7513
 [80,] 1702.8880 1690.4509 1678.0137 1665.5766 1653.1394 1640.7023 1628.2651
 [81,] 1713.4731 1700.6875 1687.9019 1675.1163 1662.3307 1649.5451 1636.7595
 [82,] 1724.0715 1710.9320 1697.7925 1684.6530 1671.5134 1658.3739 1645.2344
 [83,] 1734.6833 1721.1844 1707.6855 1694.1866 1680.6877 1667.1888 1653.6899
 [84,] 1745.3084 1731.4447 1717.5809 1703.7172 1689.8534 1675.9897 1662.1259
 [85,] 1755.9469 1741.7128 1727.4788 1713.2447 1699.0106 1684.7766 1670.5425
 [86,] 1766.5987 1751.9889 1737.3790 1722.7692 1708.1593 1693.5495 1678.9397
 [87,] 1777.2639 1762.2728 1747.2817 1732.2906 1717.2995 1702.3084 1687.3173
 [88,] 1787.9424 1772.5646 1757.1868 1741.8090 1726.4312 1711.0534 1695.6756
 [89,] 1798.6343 1782.8643 1767.0944 1751.3244 1735.5544 1719.7844 1704.0144
 [90,] 1809.3396 1793.1719 1777.0043 1760.8367 1744.6690 1728.5014 1712.3338
 [91,] 1820.0582 1803.4874 1786.9167 1770.3459 1753.7752 1737.2044 1720.6337
 [92,] 1830.7901 1813.8108 1796.8315 1779.8521 1762.8728 1745.8935 1728.9141
 [93,] 1841.5355 1824.1421 1806.7487 1789.3553 1771.9619 1754.5685 1737.1752
 [94,] 1852.2941 1834.4812 1816.6683 1798.8554 1781.0425 1763.2296 1745.4167
 [95,] 1863.0661 1844.8283 1826.5904 1808.3525 1790.1146 1771.8767 1753.6389
 [96,] 1873.8515 1855.1832 1836.5149 1817.8465 1799.1782 1780.5099 1761.8415
 [97,] 1884.6502 1865.5460 1846.4418 1827.3375 1808.2333 1789.1290 1770.0248
 [98,] 1895.4623 1875.9167 1856.3711 1836.8255 1817.2798 1797.7342 1778.1886
 [99,] 1906.2878 1886.2953 1866.3028 1846.3103 1826.3179 1806.3254 1786.3329
           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
  [1,]  893.5769  891.3925  889.2081  887.0238  884.8394  882.6551  880.4707
  [2,]  903.6909  901.5899  899.4890  897.3880  895.2871  893.1862  891.0852
  [3,]  913.7800  911.7570  909.7340  907.7110  905.6880  903.6650  901.6420
  [4,]  923.8441  921.8936  919.9431  917.9926  916.0421  914.0916  912.1411
  [5,]  933.8834  931.9999  930.1164  928.2329  926.3494  924.4660  922.5825
  [6,]  943.8978  942.0758  940.2539  938.4319  936.6100  934.7881  932.9661
  [7,]  953.8872  952.1213  950.3555  948.5896  946.8238  945.0579  943.2921
  [8,]  963.8517  962.1365  960.4213  958.7060  956.9908  955.2756  953.5603
  [9,]  973.7913  972.1213  970.4512  968.7811  967.1110  965.4409  963.7708
 [10,]  983.7061  982.0757  980.4453  978.8148  977.1844  975.5540  973.9236
 [11,]  993.5958  991.9997  990.4035  988.8073  987.2111  985.6149  984.0187
 [12,] 1003.4607 1001.8933 1000.3259  998.7584  997.1910  995.6236  994.0561
 [13,] 1013.3007 1011.7565 1010.2124 1008.6683 1007.1241 1005.5800 1004.0358
 [14,] 1023.1157 1021.5894 1020.0631 1018.5368 1017.0104 1015.4841 1013.9578
 [15,] 1032.9059 1031.3919 1029.8779 1028.3640 1026.8500 1025.3360 1023.8220
 [16,] 1042.6711 1041.1640 1039.6569 1038.1498 1036.6427 1035.1357 1033.6286
 [17,] 1052.4114 1050.9058 1049.4001 1047.8944 1046.3887 1044.8831 1043.3774
 [18,] 1062.1268 1060.6171 1059.1074 1057.5977 1056.0879 1054.5782 1053.0685
 [19,] 1071.8173 1070.2981 1068.7789 1067.2596 1065.7404 1064.2211 1062.7019
 [20,] 1081.4829 1079.9487 1078.4145 1076.8802 1075.3460 1073.8118 1072.2776
 [21,] 1091.1236 1089.5689 1088.0142 1086.4596 1084.9049 1083.3502 1081.7956
 [22,] 1100.7393 1099.1588 1097.5782 1095.9976 1094.4170 1092.8364 1091.2558
 [23,] 1110.3302 1108.7182 1107.1062 1105.4943 1103.8823 1102.2703 1100.6584
 [24,] 1119.8961 1118.2473 1116.5985 1114.9497 1113.3008 1111.6520 1110.0032
 [25,] 1129.4371 1127.7460 1126.0549 1124.3637 1122.6726 1120.9815 1119.2903
 [26,] 1138.9532 1137.2143 1135.4754 1133.7365 1131.9976 1130.2587 1128.5197
 [27,] 1148.4444 1146.6523 1144.8601 1143.0679 1141.2758 1139.4836 1137.6914
 [28,] 1157.9107 1156.0598 1154.2090 1152.3581 1150.5072 1148.6563 1146.8054
 [29,] 1167.3521 1165.4370 1163.5220 1161.6069 1159.6918 1157.7768 1155.8617
 [30,] 1176.7685 1174.7838 1172.7991 1170.8144 1168.8297 1166.8450 1164.8603
 [31,] 1186.1601 1184.1003 1182.0404 1179.9806 1177.9208 1175.8609 1173.8011
 [32,] 1195.5267 1193.3863 1191.2459 1189.1055 1186.9651 1184.8247 1182.6843
 [33,] 1204.8684 1202.6420 1200.4155 1198.1891 1195.9626 1193.7361 1191.5097
 [34,] 1214.1852 1211.8673 1209.5493 1207.2313 1204.9133 1202.5954 1200.2774
 [35,] 1223.4771 1221.0622 1218.6472 1216.2323 1213.8173 1211.4024 1208.9874
 [36,] 1232.7441 1230.2267 1227.7093 1225.1919 1222.6745 1220.1571 1217.6397
 [37,] 1241.9862 1239.3609 1236.7355 1234.1102 1231.4849 1228.8596 1226.2343
 [38,] 1251.2033 1248.4646 1245.7259 1242.9872 1240.2485 1237.5098 1234.7711
 [39,] 1260.3956 1257.5380 1254.6805 1251.8229 1248.9654 1246.1078 1243.2503
 [40,] 1269.5629 1266.5810 1263.5992 1260.6173 1257.6354 1254.6536 1251.6717
 [41,] 1278.7053 1275.5937 1272.4820 1269.3704 1266.2587 1263.1471 1260.0354
 [42,] 1287.8228 1284.5759 1281.3290 1278.0821 1274.8352 1271.5883 1268.3415
 [43,] 1296.9154 1293.5278 1290.1402 1286.7526 1283.3650 1279.9774 1276.5898
 [44,] 1305.9831 1302.4493 1298.9155 1295.3817 1291.8479 1288.3141 1284.7803
 [45,] 1315.0259 1311.3404 1307.6550 1303.9696 1300.2841 1296.5987 1292.9132
 [46,] 1324.0437 1320.2012 1316.3586 1312.5161 1308.6735 1304.8309 1300.9884
 [47,] 1333.0367 1329.0315 1325.0264 1321.0213 1317.0161 1313.0110 1309.0058
 [48,] 1342.0047 1337.8315 1333.6583 1329.4851 1325.3120 1321.1388 1316.9656
 [49,] 1350.9478 1346.6011 1342.2544 1337.9077 1333.5610 1329.2143 1324.8676
 [50,] 1359.8660 1355.3404 1350.8147 1346.2890 1341.7633 1337.2376 1332.7119
 [51,] 1368.7593 1364.0492 1359.3391 1354.6289 1349.9188 1345.2087 1340.4985
 [52,] 1377.6277 1372.7277 1367.8276 1362.9276 1358.0275 1353.1275 1348.2274
 [53,] 1386.4712 1381.3758 1376.2803 1371.1849 1366.0895 1360.9940 1355.8986
 [54,] 1395.2898 1389.9935 1384.6972 1379.4009 1374.1046 1368.8083 1363.5120
 [55,] 1404.0834 1398.5808 1393.0782 1387.5756 1382.0730 1376.5704 1371.0678
 [56,] 1412.8521 1407.1377 1401.4234 1395.7090 1389.9946 1384.2802 1378.5658
 [57,] 1421.5959 1415.6643 1409.7327 1403.8011 1397.8694 1391.9378 1386.0062
 [58,] 1430.3149 1424.1605 1418.0062 1411.8518 1405.6975 1399.5431 1393.3888
 [59,] 1439.0089 1432.6263 1426.2438 1419.8613 1413.4787 1407.0962 1400.7137
 [60,] 1447.6779 1441.0618 1434.4456 1427.8294 1421.2132 1414.5970 1407.9809
 [61,] 1456.3221 1449.4668 1442.6115 1435.7562 1428.9009 1422.0456 1415.1904
 [62,] 1464.9414 1457.8415 1450.7416 1443.6417 1436.5419 1429.4420 1422.3421
 [63,] 1473.5357 1466.1858 1458.8359 1451.4859 1444.1360 1436.7861 1429.4362
 [64,] 1482.1051 1474.4997 1466.8943 1459.2888 1451.6834 1444.0779 1436.4725
 [65,] 1490.6497 1482.7832 1474.9168 1467.0504 1459.1840 1451.3176 1443.4511
 [66,] 1499.1693 1491.0364 1482.9035 1474.7707 1466.6378 1458.5049 1450.3721
 [67,] 1507.6640 1499.2592 1490.8544 1482.4496 1474.0448 1465.6400 1457.2353
 [68,] 1516.1337 1507.4516 1498.7694 1490.0872 1481.4051 1472.7229 1464.0407
 [69,] 1524.5786 1515.6136 1506.6486 1497.6836 1488.7186 1479.7535 1470.7885
 [70,] 1532.9986 1523.7452 1514.4919 1505.2386 1495.9853 1486.7319 1477.4786
 [71,] 1541.3936 1531.8465 1522.2994 1512.7523 1503.2052 1493.6581 1484.1109
 [72,] 1549.7638 1539.9174 1530.0710 1520.2247 1510.3783 1500.5319 1490.6856
 [73,] 1558.1090 1547.9579 1537.8068 1527.6557 1517.5047 1507.3536 1497.2025
 [74,] 1566.4293 1555.9680 1545.5068 1535.0455 1524.5842 1514.1230 1503.6617
 [75,] 1574.7247 1563.9478 1553.1709 1542.3940 1531.6170 1520.8401 1510.0632
 [76,] 1582.9952 1571.8971 1560.7991 1549.7011 1538.6031 1527.5050 1516.4070
 [77,] 1591.2407 1579.8161 1568.3915 1556.9669 1545.5423 1534.1177 1522.6931
 [78,] 1599.4614 1587.7047 1575.9481 1564.1914 1552.4348 1540.6781 1528.9215
 [79,] 1607.6571 1595.5630 1583.4688 1571.3746 1559.2805 1547.1863 1535.0921
 [80,] 1615.8280 1603.3908 1590.9537 1578.5165 1566.0794 1553.6422 1541.2051
 [81,] 1623.9739 1611.1883 1598.4027 1585.6171 1572.8315 1560.0459 1547.2603
 [82,] 1632.0949 1618.9554 1605.8159 1592.6764 1579.5368 1566.3973 1553.2578
 [83,] 1640.1910 1626.6921 1613.1932 1599.6943 1586.1954 1572.6965 1559.1976
 [84,] 1648.2622 1634.3984 1620.5347 1606.6709 1592.8072 1578.9435 1565.0797
 [85,] 1656.3085 1642.0744 1627.8403 1613.6063 1599.3722 1585.1381 1570.9041
 [86,] 1664.3298 1649.7200 1635.1101 1620.5003 1605.8904 1591.2806 1576.6708
 [87,] 1672.3263 1657.3352 1642.3441 1627.3530 1612.3619 1597.3708 1582.3797
 [88,] 1680.2978 1664.9200 1649.5422 1634.1644 1618.7866 1603.4088 1588.0309
 [89,] 1688.2444 1672.4744 1656.7044 1640.9344 1625.1645 1609.3945 1593.6245
 [90,] 1696.1661 1679.9985 1663.8308 1647.6632 1631.4956 1615.3279 1599.1603
 [91,] 1704.0629 1687.4922 1670.9214 1654.3507 1637.7799 1621.2092 1604.6384
 [92,] 1711.9348 1694.9555 1677.9761 1660.9968 1644.0175 1627.0381 1610.0588
 [93,] 1719.7818 1702.3884 1684.9950 1667.6016 1650.2082 1632.8149 1615.4215
 [94,] 1727.6038 1709.7909 1691.9780 1674.1651 1656.3522 1638.5393 1620.7264
 [95,] 1735.4010 1717.1631 1698.9252 1680.6873 1662.4495 1644.2116 1625.9737
 [96,] 1743.1732 1724.5049 1705.8366 1687.1682 1668.4999 1649.8316 1631.1632
 [97,] 1750.9205 1731.8163 1712.7120 1693.6078 1674.5036 1655.3993 1636.2951
 [98,] 1758.6429 1739.0973 1719.5517 1700.0061 1680.4604 1660.9148 1641.3692
 [99,] 1766.3404 1746.3480 1726.3555 1706.3630 1686.3705 1666.3781 1646.3856
           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
  [1,]  878.2863  876.1020  873.9176  871.7333  869.5489  867.3645  865.1802
  [2,]  888.9843  886.8833  884.7824  882.6814  880.5805  878.4796  876.3786
  [3,]  899.6190  897.5960  895.5730  893.5500  891.5271  889.5041  887.4811
  [4,]  910.1906  908.2401  906.2896  904.3391  902.3886  900.4381  898.4876
  [5,]  920.6990  918.8155  916.9320  915.0485  913.1650  911.2815  909.3981
  [6,]  931.1442  929.3223  927.5003  925.6784  923.8564  922.0345  920.2126
  [7,]  941.5262  939.7604  937.9945  936.2287  934.4628  932.6970  930.9311
  [8,]  951.8451  950.1298  948.4146  946.6994  944.9841  943.2689  941.5537
  [9,]  962.1008  960.4307  958.7606  957.0905  955.4204  953.7503  952.0802
 [10,]  972.2932  970.6628  969.0324  967.4020  965.7716  964.1412  962.5108
 [11,]  982.4226  980.8264  979.2302  977.6340  976.0378  974.4417  972.8455
 [12,]  992.4887  990.9213  989.3538  987.7864  986.2190  984.6515  983.0841
 [13,] 1002.4917 1000.9475  999.4034  997.8592  996.3151  994.7709  993.2268
 [14,] 1012.4314 1010.9051 1009.3788 1007.8525 1006.3261 1004.7998 1003.2735
 [15,] 1022.3080 1020.7941 1019.2801 1017.7661 1016.2521 1014.7382 1013.2242
 [16,] 1032.1215 1030.6144 1029.1073 1027.6002 1026.0931 1024.5860 1023.0789
 [17,] 1041.8717 1040.3660 1038.8604 1037.3547 1035.8490 1034.3433 1032.8376
 [18,] 1051.5588 1050.0490 1048.5393 1047.0296 1045.5199 1044.0101 1042.5004
 [19,] 1061.1827 1059.6634 1058.1442 1056.6249 1055.1057 1053.5864 1052.0672
 [20,] 1070.7434 1069.2091 1067.6749 1066.1407 1064.6065 1063.0722 1061.5380
 [21,] 1080.2409 1078.6862 1077.1315 1075.5769 1074.0222 1072.4675 1070.9129
 [22,] 1089.6752 1088.0946 1086.5141 1084.9335 1083.3529 1081.7723 1080.1917
 [23,] 1099.0464 1097.4344 1095.8225 1094.2105 1092.5985 1090.9865 1089.3746
 [24,] 1108.3544 1106.7056 1105.0567 1103.4079 1101.7591 1100.1103 1098.4615
 [25,] 1117.5992 1115.9081 1114.2169 1112.5258 1110.8347 1109.1435 1107.4524
 [26,] 1126.7808 1125.0419 1123.3030 1121.5641 1119.8252 1118.0862 1116.3473
 [27,] 1135.8993 1134.1071 1132.3149 1130.5228 1128.7306 1126.9384 1125.1463
 [28,] 1144.9545 1143.1037 1141.2528 1139.4019 1137.5510 1135.7001 1133.8493
 [29,] 1153.9466 1152.0316 1150.1165 1148.2015 1146.2864 1144.3713 1142.4563
 [30,] 1162.8756 1160.8908 1158.9061 1156.9214 1154.9367 1152.9520 1150.9673
 [31,] 1171.7413 1169.6815 1167.6216 1165.5618 1163.5020 1161.4422 1159.3823
 [32,] 1180.5438 1178.4034 1176.2630 1174.1226 1171.9822 1169.8418 1167.7014
 [33,] 1189.2832 1187.0568 1184.8303 1182.6038 1180.3774 1178.1509 1175.9245
 [34,] 1197.9594 1195.6414 1193.3235 1191.0055 1188.6875 1186.3695 1184.0516
 [35,] 1206.5724 1204.1575 1201.7425 1199.3276 1196.9126 1194.4977 1192.0827
 [36,] 1215.1223 1212.6049 1210.0875 1207.5701 1205.0527 1202.5352 1200.0178
 [37,] 1223.6089 1220.9836 1218.3583 1215.7330 1213.1077 1210.4823 1207.8570
 [38,] 1232.0324 1229.2937 1226.5550 1223.8163 1221.0776 1218.3389 1215.6002
 [39,] 1240.3927 1237.5352 1234.6776 1231.8201 1228.9625 1226.1050 1223.2474
 [40,] 1248.6898 1245.7080 1242.7261 1239.7442 1236.7624 1233.7805 1230.7986
 [41,] 1256.9238 1253.8121 1250.7005 1247.5888 1244.4772 1241.3655 1238.2539
 [42,] 1265.0946 1261.8477 1258.6008 1255.3539 1252.1070 1248.8601 1245.6132
 [43,] 1273.2021 1269.8145 1266.4269 1263.0393 1259.6517 1256.2641 1252.8765
 [44,] 1281.2465 1277.7127 1274.1790 1270.6452 1267.1114 1263.5776 1260.0438
 [45,] 1289.2278 1285.5423 1281.8569 1278.1714 1274.4860 1270.8005 1267.1151
 [46,] 1297.1458 1293.3033 1289.4607 1285.6181 1281.7756 1277.9330 1274.0905
 [47,] 1305.0007 1300.9955 1296.9904 1292.9853 1288.9801 1284.9750 1280.9698
 [48,] 1312.7924 1308.6192 1304.4460 1300.2728 1296.0996 1291.9264 1287.7532
 [49,] 1320.5209 1316.1742 1311.8275 1307.4808 1303.1341 1298.7874 1294.4406
 [50,] 1328.1862 1323.6605 1319.1348 1314.6092 1310.0835 1305.5578 1301.0321
 [51,] 1335.7884 1331.0782 1326.3681 1321.6580 1316.9478 1312.2377 1307.5275
 [52,] 1343.3274 1338.4273 1333.5272 1328.6272 1323.7271 1318.8271 1313.9270
 [53,] 1350.8031 1345.7077 1340.6123 1335.5168 1330.4214 1325.3260 1320.2305
 [54,] 1358.2158 1352.9195 1347.6232 1342.3269 1337.0306 1331.7343 1326.4381
 [55,] 1365.5652 1360.0626 1354.5600 1349.0574 1343.5548 1338.0522 1332.5496
 [56,] 1372.8515 1367.1371 1361.4227 1355.7083 1349.9939 1344.2795 1338.5652
 [57,] 1380.0745 1374.1429 1368.2113 1362.2796 1356.3480 1350.4164 1344.4848
 [58,] 1387.2344 1381.0801 1374.9257 1368.7714 1362.6170 1356.4627 1350.3084
 [59,] 1394.3312 1387.9486 1381.5661 1375.1836 1368.8010 1362.4185 1356.0360
 [60,] 1401.3647 1394.7485 1388.1323 1381.5162 1374.9000 1368.2838 1361.6676
 [61,] 1408.3351 1401.4798 1394.6245 1387.7692 1380.9139 1374.0586 1367.2033
 [62,] 1415.2422 1408.1424 1401.0425 1393.9426 1386.8427 1379.7429 1372.6430
 [63,] 1422.0862 1414.7363 1407.3864 1400.0365 1392.6866 1385.3366 1377.9867
 [64,] 1428.8671 1421.2616 1413.6562 1406.0508 1398.4453 1390.8399 1383.2344
 [65,] 1435.5847 1427.7183 1419.8519 1411.9855 1404.1190 1396.2526 1388.3862
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           [,64]     [,65]     [,66]     [,67]     [,68]     [,69]     [,70]
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           [,71]     [,72]     [,73]     [,74]     [,75]     [,76]     [,77]
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 [60,] 1308.7382 1302.1220 1295.5059 1288.8897 1282.2735 1275.6573 1269.0412
 [61,] 1312.3610 1305.5057 1298.6504 1291.7951 1284.9398 1278.0845 1271.2292
 [62,] 1315.8440 1308.7441 1301.6442 1294.5444 1287.4445 1280.3446 1273.2448
 [63,] 1319.1873 1311.8374 1304.4875 1297.1375 1289.7876 1282.4377 1275.0878
 [64,] 1322.3909 1314.7855 1307.1801 1299.5746 1291.9692 1284.3637 1276.7583
 [65,] 1325.4548 1317.5884 1309.7220 1301.8556 1293.9891 1286.1227 1278.2563
 [66,] 1328.3790 1320.2461 1312.1133 1303.9804 1295.8475 1287.7147 1279.5818
 [67,] 1331.1635 1322.7587 1314.3539 1305.9491 1297.5443 1289.1396 1280.7348
 [68,] 1333.8082 1325.1261 1316.4439 1307.7617 1299.0796 1290.3974 1281.7152
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 [76,] 1349.9367 1338.8387 1327.7406 1316.6426 1305.5446 1294.4466 1283.3485
 [77,] 1351.3240 1339.8994 1328.4748 1317.0502 1305.6256 1294.2010 1282.7764
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 [83,] 1356.7142 1343.2153 1329.7164 1316.2175 1302.7186 1289.2197 1275.7208
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           [,78]     [,79]     [,80]     [,81]     [,82]     [,83]     [,84]
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 [15,]  990.5145  989.0005  987.4865  985.9726  984.4586  982.9446  981.4306
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 [28,] 1106.0860 1104.2352 1102.3843 1100.5334 1098.6825 1096.8316 1094.9808
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 [30,] 1121.1966 1119.2119 1117.2272 1115.2425 1113.2577 1111.2730 1109.2883
 [31,] 1128.4849 1126.4251 1124.3653 1122.3054 1120.2456 1118.1858 1116.1259
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 [37,] 1168.4772 1165.8519 1163.2266 1160.6012 1157.9759 1155.3506 1152.7253
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 [39,] 1180.3841 1177.5266 1174.6690 1171.8115 1168.9539 1166.0964 1163.2388
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 [41,] 1191.5791 1188.4675 1185.3558 1182.2442 1179.1325 1176.0209 1172.9092
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 [43,] 1202.0622 1198.6746 1195.2870 1191.8994 1188.5118 1185.1242 1181.7366
 [44,] 1207.0368 1203.5030 1199.9692 1196.4354 1192.9016 1189.3678 1185.8340
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 [62,] 1266.1449 1259.0450 1251.9451 1244.8453 1237.7454 1230.6455 1223.5456
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 [64,] 1269.1529 1261.5474 1253.9420 1246.3365 1238.7311 1231.1257 1223.5202
 [65,] 1270.3899 1262.5235 1254.6570 1246.7906 1238.9242 1231.0578 1223.1914
 [66,] 1271.4489 1263.3161 1255.1832 1247.0503 1238.9174 1230.7846 1222.6517
 [67,] 1272.3300 1263.9252 1255.5204 1247.1156 1238.7108 1230.3061 1221.9013
 [68,] 1273.0331 1264.3509 1255.6687 1246.9866 1238.3044 1229.6222 1220.9401
 [69,] 1273.5582 1264.5932 1255.6281 1246.6631 1237.6981 1228.7331 1219.7681
 [70,] 1273.9053 1264.6520 1255.3986 1246.1453 1236.8920 1227.6387 1218.3853
 [71,] 1274.0745 1264.5273 1254.9802 1245.4331 1235.8860 1226.3389 1216.7918
 [72,] 1274.0656 1264.2193 1254.3729 1244.5265 1234.6802 1224.8338 1214.9875
 [73,] 1273.8788 1263.7277 1253.5767 1243.4256 1233.2745 1223.1234 1212.9724
 [74,] 1273.5140 1263.0528 1252.5915 1242.1302 1231.6690 1221.2077 1210.7465
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 [77,] 1271.3518 1259.9272 1248.5026 1237.0780 1225.6534 1214.2288 1202.8042
 [78,] 1270.2751 1258.5184 1246.7618 1235.0051 1223.2485 1211.4918 1199.7352
 [79,] 1269.0204 1256.9262 1244.8321 1232.7379 1220.6437 1208.5496 1196.4554
 [80,] 1267.5877 1255.1506 1242.7134 1230.2763 1217.8391 1205.4020 1192.9648
 [81,] 1265.9771 1253.1915 1240.4059 1227.6203 1214.8347 1202.0491 1189.2635
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           [,85]     [,86]     [,87]     [,88]     [,89]     [,90]     [,91]
  [1,]  817.1243  814.9399  812.7556  810.5712  808.3869  806.2025  804.0181
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 [29,] 1100.3249 1098.4098 1096.4947 1094.5797 1092.6646 1090.7496 1088.8345
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 [33,] 1126.9424 1124.7159 1122.4895 1120.2630 1118.0365 1115.8101 1113.5836
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 [35,] 1138.9537 1136.5387 1134.1237 1131.7088 1129.2938 1126.8789 1124.4639
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 [37,] 1150.0999 1147.4746 1144.8493 1142.2240 1139.5987 1136.9733 1134.3480
 [38,] 1155.3487 1152.6100 1149.8713 1147.1326 1144.3939 1141.6552 1138.9165
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 [42,] 1174.1814 1170.9345 1167.6876 1164.4407 1161.1938 1157.9469 1154.7000
 [43,] 1178.3489 1174.9613 1171.5737 1168.1861 1164.7985 1161.4109 1158.0233
 [44,] 1182.3002 1178.7665 1175.2327 1171.6989 1168.1651 1164.6313 1161.0975
 [45,] 1186.0353 1182.3499 1178.6644 1174.9790 1171.2935 1167.6081 1163.9226
 [46,] 1189.5541 1185.7116 1181.8690 1178.0264 1174.1839 1170.3413 1166.4988
 [47,] 1192.8567 1188.8515 1184.8464 1180.8413 1176.8361 1172.8310 1168.8258
 [48,] 1195.9430 1191.7698 1187.5966 1183.4234 1179.2502 1175.0771 1170.9039
 [49,] 1198.8131 1194.4664 1190.1197 1185.7730 1181.4263 1177.0796 1172.7329
 [50,] 1201.4669 1196.9412 1192.4155 1187.8899 1183.3642 1178.8385 1174.3128
 [51,] 1203.9045 1199.1944 1194.4842 1189.7741 1185.0640 1180.3538 1175.6437
 [52,] 1206.1259 1201.2258 1196.3257 1191.4257 1186.5256 1181.6256 1176.7255
 [53,] 1208.1309 1203.0355 1197.9401 1192.8446 1187.7492 1182.6538 1177.5583
 [54,] 1209.9198 1204.6235 1199.3272 1194.0309 1188.7347 1183.4384 1178.1421
 [55,] 1211.4924 1205.9898 1200.4872 1194.9846 1189.4820 1183.9794 1178.4768
 [56,] 1212.8488 1207.1344 1201.4200 1195.7056 1189.9912 1184.2769 1178.5625
 [57,] 1213.9889 1208.0572 1202.1256 1196.1940 1190.2624 1184.3307 1178.3991
 [58,] 1214.9127 1208.7584 1202.6040 1196.4497 1190.2954 1184.1410 1177.9867
 [59,] 1215.6204 1209.2378 1202.8553 1196.4728 1190.0903 1183.7077 1177.3252
 [60,] 1216.1117 1209.4956 1202.8794 1196.2632 1189.6470 1183.0309 1176.4147
 [61,] 1216.3869 1209.5316 1202.6763 1195.8210 1188.9657 1182.1104 1175.2551
 [62,] 1216.4458 1209.3459 1202.2460 1195.1461 1188.0463 1180.9464 1173.8465
 [63,] 1216.2884 1208.9385 1201.5885 1194.2386 1186.8887 1179.5388 1172.1889
 [64,] 1215.9148 1208.3093 1200.7039 1193.0985 1185.4930 1177.8876 1170.2822
 [65,] 1215.3249 1207.4585 1199.5921 1191.7257 1183.8593 1175.9928 1168.1264
 [66,] 1214.5188 1206.3860 1198.2531 1190.1202 1181.9874 1173.8545 1165.7216
 [67,] 1213.4965 1205.0917 1196.6869 1188.2821 1179.8774 1171.4726 1163.0678
 [68,] 1212.2579 1203.5757 1194.8936 1186.2114 1177.5292 1168.8471 1160.1649
 [69,] 1210.8031 1201.8381 1192.8730 1183.9080 1174.9430 1165.9780 1157.0130
 [70,] 1209.1320 1199.8787 1190.6253 1181.3720 1172.1187 1162.8653 1153.6120
 [71,] 1207.2447 1197.6976 1188.1504 1178.6033 1169.0562 1159.5091 1149.9620
 [72,] 1205.1411 1195.2947 1185.4484 1175.6020 1165.7556 1155.9093 1146.0629
 [73,] 1202.8213 1192.6702 1182.5191 1172.3680 1162.2170 1152.0659 1141.9148
 [74,] 1200.2852 1189.8240 1179.3627 1168.9014 1158.4402 1147.9789 1137.5177
 [75,] 1197.5329 1186.7560 1175.9791 1165.2022 1154.4253 1143.6484 1132.8715
 [76,] 1194.5644 1183.4663 1172.3683 1161.2703 1150.1723 1139.0742 1127.9762
 [77,] 1191.3796 1179.9549 1168.5303 1157.1057 1145.6811 1134.2565 1122.8319
 [78,] 1187.9785 1176.2219 1164.4652 1152.7085 1140.9519 1129.1952 1117.4386
 [79,] 1184.3612 1172.2670 1160.1729 1148.0787 1135.9845 1123.8904 1111.7962
 [80,] 1180.5277 1168.0905 1155.6534 1143.2162 1130.7791 1118.3419 1105.9048
 [81,] 1176.4779 1163.6923 1150.9067 1138.1211 1125.3355 1112.5499 1099.7643
 [82,] 1172.2119 1159.0724 1145.9328 1132.7933 1119.6538 1106.5143 1093.3748
 [83,] 1167.7296 1154.2307 1140.7318 1127.2329 1113.7340 1100.2351 1086.7362
 [84,] 1163.0311 1149.1673 1135.3036 1121.4398 1107.5761 1093.7123 1079.8486
 [85,] 1158.1163 1143.8822 1129.6482 1115.4141 1101.1801 1086.9460 1072.7119
 [86,] 1152.9853 1138.3755 1123.7656 1109.1558 1094.5459 1079.9361 1065.3262
 [87,] 1147.6380 1132.6470 1117.6559 1102.6648 1087.6737 1072.6826 1057.6915
 [88,] 1142.0745 1126.6967 1111.3189 1095.9411 1080.5633 1065.1855 1049.8077
 [89,] 1136.2948 1120.5248 1104.7548 1088.9848 1073.2148 1057.4449 1041.6749
 [90,] 1130.2988 1114.1312 1097.9635 1081.7959 1065.6283 1049.4606 1033.2930
 [91,] 1124.0866 1107.5158 1090.9451 1074.3743 1057.8036 1041.2328 1024.6620
 [92,] 1117.6581 1100.6787 1083.6994 1066.7201 1049.7407 1032.7614 1015.7821
 [93,] 1111.0134 1093.6200 1076.2266 1058.8332 1041.4398 1024.0464 1006.6531
 [94,] 1104.1524 1086.3395 1068.5266 1050.7137 1032.9008 1015.0879  997.2750
 [95,] 1097.0752 1078.8373 1060.5994 1042.3615 1024.1236 1005.8858  987.6479
 [96,] 1089.7817 1071.1134 1052.4450 1033.7767 1015.1084  996.4400  977.7717
 [97,] 1082.2720 1063.1677 1044.0635 1024.9592 1005.8550  986.7508  967.6465
 [98,] 1074.5460 1055.0004 1035.4548 1015.9091  996.3635  976.8179  957.2723
 [99,] 1066.6038 1046.6113 1026.6189 1006.6264  986.6339  966.6414  946.6490
           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
  [1,]  801.8338  799.6494  797.4651  795.2807  793.0963  790.9120  788.7276
  [2,]  815.4513  813.3504  811.2494  809.1485  807.0476  804.9466  802.8457
  [3,]  828.8144  826.7914  824.7684  822.7454  820.7224  818.6994  816.6764
  [4,]  841.9229  839.9724  838.0219  836.0714  834.1209  832.1703  830.2198
  [5,]  854.7769  852.8934  851.0099  849.1264  847.2429  845.3594  843.4760
  [6,]  867.3764  865.5544  863.7325  861.9106  860.0886  858.2667  856.4448
  [7,]  879.7214  877.9555  876.1897  874.4238  872.6580  870.8921  869.1263
  [8,]  891.8118  890.0966  888.3814  886.6661  884.9509  883.2357  881.5204
  [9,]  903.6478  901.9777  900.3076  898.6375  896.9675  895.2974  893.6273
 [10,]  915.2292  913.5988  911.9684  910.3380  908.7076  907.0772  905.4468
 [11,]  926.5562  924.9600  923.3638  921.7676  920.1715  918.5753  916.9791
 [12,]  937.6286  936.0612  934.4937  932.9263  931.3589  929.7915  928.2240
 [13,]  948.4465  946.9024  945.3582  943.8141  942.2699  940.7258  939.1816
 [14,]  959.0099  957.4836  955.9573  954.4309  952.9046  951.3783  949.8519
 [15,]  969.3188  967.8048  966.2908  964.7769  963.2629  961.7489  960.2349
 [16,]  979.3732  977.8661  976.3590  974.8519  973.3448  971.8377  970.3306
 [17,]  989.1730  987.6674  986.1617  984.6560  983.1503  981.6447  980.1390
 [18,]  998.7184  997.2087  995.6989  994.1892  992.6795  991.1698  989.6600
 [19,] 1008.0092 1006.4900 1004.9707 1003.4515 1001.9323 1000.4130  998.8938
 [20,] 1017.0456 1015.5113 1013.9771 1012.4429 1010.9087 1009.3744 1007.8402
 [21,] 1025.8274 1024.2727 1022.7180 1021.1633 1019.6087 1018.0540 1016.4993
 [22,] 1034.3547 1032.7741 1031.1935 1029.6129 1028.0323 1026.4517 1024.8711
 [23,] 1042.6275 1041.0155 1039.4035 1037.7915 1036.1796 1034.5676 1032.9556
 [24,] 1050.6457 1048.9969 1047.3481 1045.6993 1044.0505 1042.4016 1040.7528
 [25,] 1058.4095 1056.7184 1055.0272 1053.3361 1051.6450 1049.9538 1048.2627
 [26,] 1065.9187 1064.1798 1062.4409 1060.7020 1058.9631 1057.2242 1055.4852
 [27,] 1073.1735 1071.3813 1069.5892 1067.7970 1066.0048 1064.2127 1062.4205
 [28,] 1080.1737 1078.3228 1076.4719 1074.6211 1072.7702 1070.9193 1069.0684
 [29,] 1086.9194 1085.0044 1083.0893 1081.1742 1079.2592 1077.3441 1075.4290
 [30,] 1093.4106 1091.4259 1089.4412 1087.4565 1085.4718 1083.4871 1081.5024
 [31,] 1099.6473 1097.5875 1095.5277 1093.4678 1091.4080 1089.3482 1087.2884
 [32,] 1105.6295 1103.4891 1101.3487 1099.2083 1097.0679 1094.9274 1092.7870
 [33,] 1111.3572 1109.1307 1106.9042 1104.6778 1102.4513 1100.2249 1097.9984
 [34,] 1116.8303 1114.5123 1112.1944 1109.8764 1107.5584 1105.2404 1102.9225
 [35,] 1122.0490 1119.6340 1117.2190 1114.8041 1112.3891 1109.9742 1107.5592
 [36,] 1127.0131 1124.4957 1121.9783 1119.4609 1116.9435 1114.4261 1111.9087
 [37,] 1131.7227 1129.0974 1126.4721 1123.8467 1121.2214 1118.5961 1115.9708
 [38,] 1136.1778 1133.4391 1130.7004 1127.9617 1125.2230 1122.4843 1119.7456
 [39,] 1140.3784 1137.5208 1134.6633 1131.8057 1128.9482 1126.0906 1123.2331
 [40,] 1144.3245 1141.3426 1138.3607 1135.3789 1132.3970 1129.4151 1126.4333
 [41,] 1148.0160 1144.9044 1141.7927 1138.6811 1135.5694 1132.4578 1129.3461
 [42,] 1151.4531 1148.2062 1144.9593 1141.7124 1138.4655 1135.2186 1131.9717
 [43,] 1154.6356 1151.2480 1147.8604 1144.4728 1141.0852 1137.6976 1134.3100
 [44,] 1157.5637 1154.0299 1150.4961 1146.9623 1143.4285 1139.8947 1136.3609
 [45,] 1160.2372 1156.5517 1152.8663 1149.1809 1145.4954 1141.8100 1138.1245
 [46,] 1162.6562 1158.8136 1154.9711 1151.1285 1147.2860 1143.4434 1139.6008
 [47,] 1164.8207 1160.8156 1156.8104 1152.8053 1148.8001 1144.7950 1140.7898
 [48,] 1166.7307 1162.5575 1158.3843 1154.2111 1150.0379 1145.8647 1141.6915
 [49,] 1168.3861 1164.0394 1159.6927 1155.3460 1150.9993 1146.6526 1142.3059
 [50,] 1169.7871 1165.2614 1160.7357 1156.2100 1151.6843 1147.1587 1142.6330
 [51,] 1170.9335 1166.2234 1161.5133 1156.8031 1152.0930 1147.3829 1142.6727
 [52,] 1171.8255 1166.9254 1162.0254 1157.1253 1152.2253 1147.3252 1142.4252
 [53,] 1172.4629 1167.3675 1162.2720 1157.1766 1152.0812 1146.9857 1141.8903
 [54,] 1172.8458 1167.5495 1162.2532 1156.9570 1151.6607 1146.3644 1141.0681
 [55,] 1172.9742 1167.4716 1161.9690 1156.4664 1150.9638 1145.4612 1139.9586
 [56,] 1172.8481 1167.1337 1161.4193 1155.7049 1149.9906 1144.2762 1138.5618
 [57,] 1172.4675 1166.5358 1160.6042 1154.6726 1148.7409 1142.8093 1136.8777
 [58,] 1171.8323 1165.6780 1159.5236 1153.3693 1147.2149 1141.0606 1134.9062
 [59,] 1170.9427 1164.5601 1158.1776 1151.7951 1145.4126 1139.0300 1132.6475
 [60,] 1169.7985 1163.1823 1156.5661 1149.9500 1143.3338 1136.7176 1130.1014
 [61,] 1168.3998 1161.5445 1154.6892 1147.8339 1140.9787 1134.1234 1127.2681
 [62,] 1166.7466 1159.6468 1152.5469 1145.4470 1138.3471 1131.2473 1124.1474
 [63,] 1164.8389 1157.4890 1150.1391 1142.7892 1135.4392 1128.0893 1120.7394
 [64,] 1162.6767 1155.0713 1147.4658 1139.8604 1132.2550 1124.6495 1117.0441
 [65,] 1160.2600 1152.3936 1144.5271 1136.6607 1128.7943 1120.9279 1113.0615
 [66,] 1157.5888 1149.4559 1141.3230 1133.1901 1125.0573 1116.9244 1108.7915
 [67,] 1154.6630 1146.2582 1137.8534 1129.4486 1121.0439 1112.6391 1104.2343
 [68,] 1151.4827 1142.8006 1134.1184 1125.4362 1116.7541 1108.0719 1099.3897
 [69,] 1148.0480 1139.0829 1130.1179 1121.1529 1112.1879 1103.2229 1094.2579
 [70,] 1144.3587 1135.1053 1125.8520 1116.5987 1107.3453 1098.0920 1088.8387
 [71,] 1140.4149 1130.8678 1121.3206 1111.7735 1102.2264 1092.6793 1083.1322
 [72,] 1136.2166 1126.3702 1116.5238 1106.6775 1096.8311 1086.9848 1077.1384
 [73,] 1131.7637 1121.6127 1111.4616 1101.3105 1091.1594 1081.0083 1070.8573
 [74,] 1127.0564 1116.5951 1106.1339 1095.6726 1085.2114 1074.7501 1064.2888
 [75,] 1122.0945 1111.3176 1100.5407 1089.7638 1078.9869 1068.2100 1057.4331
 [76,] 1116.8782 1105.7802 1094.6821 1083.5841 1072.4861 1061.3881 1050.2900
 [77,] 1111.4073 1099.9827 1088.5581 1077.1335 1065.7089 1054.2843 1042.8597
 [78,] 1105.6819 1093.9253 1082.1686 1070.4120 1058.6553 1046.8987 1035.1420
 [79,] 1099.7020 1087.6079 1075.5137 1063.4195 1051.3254 1039.2312 1027.1370
 [80,] 1093.4676 1081.0305 1068.5933 1056.1562 1043.7190 1031.2819 1018.8447
 [81,] 1086.9787 1074.1931 1061.4075 1048.6219 1035.8363 1023.0507 1010.2651
 [82,] 1080.2353 1067.0957 1053.9562 1040.8167 1027.6772 1014.5377 1001.3982
 [83,] 1073.2373 1059.7384 1046.2395 1032.7406 1019.2417 1005.7428  992.2439
 [84,] 1065.9849 1052.1211 1038.2574 1024.3936 1010.5299  996.6661  982.8024
 [85,] 1058.4779 1044.2438 1030.0098 1015.7757 1001.5416  987.3076  973.0735
 [86,] 1050.7164 1036.1066 1021.4967 1006.8869  992.2770  977.6672  963.0573
 [87,] 1042.7004 1027.7093 1012.7182  997.7271  982.7360  967.7449  952.7539
 [88,] 1034.4299 1019.0521 1003.6743  988.2965  972.9187  957.5409  942.1631
 [89,] 1025.9049 1010.1349  994.3649  978.5949  962.8249  947.0549  931.2849
 [90,] 1017.1253 1000.9577  984.7901  968.6224  952.4548  936.2872  920.1195
 [91,] 1008.0913  991.5205  974.9498  958.3790  941.8083  925.2375  908.6668
 [92,]  998.8027  981.8234  964.8441  947.8647  930.8854  913.9061  896.9267
 [93,]  989.2597  971.8663  954.4729  937.0795  919.6861  902.2927  884.8994
 [94,]  979.4621  961.6492  943.8363  926.0234  908.2105  890.3976  872.5847
 [95,]  969.4100  951.1721  932.9342  914.6963  896.4585  878.2206  859.9827
 [96,]  959.1034  940.4351  921.7667  903.0984  884.4301  865.7617  847.0934
 [97,]  948.5423  929.4380  910.3338  891.2295  872.1253  853.0210  833.9168
 [98,]  937.7266  918.1810  898.6354  879.0898  859.5441  839.9985  820.4529
 [99,]  926.6565  906.6640  886.6715  866.6791  846.6866  826.6941  806.7016
           [,99]
  [1,]  786.5433
  [2,]  800.7447
  [3,]  814.6534
  [4,]  828.2693
  [5,]  841.5925
  [6,]  854.6228
  [7,]  867.3604
  [8,]  879.8052
  [9,]  891.9572
 [10,]  903.8164
 [11,]  915.3829
 [12,]  926.6566
 [13,]  937.6375
 [14,]  948.3256
 [15,]  958.7210
 [16,]  968.8235
 [17,]  978.6333
 [18,]  988.1503
 [19,]  997.3745
 [20,] 1006.3060
 [21,] 1014.9447
 [22,] 1023.2906
 [23,] 1031.3437
 [24,] 1039.1040
 [25,] 1046.5716
 [26,] 1053.7463
 [27,] 1060.6283
 [28,] 1067.2175
 [29,] 1073.5140
 [30,] 1079.5176
 [31,] 1085.2285
 [32,] 1090.6466
 [33,] 1095.7719
 [34,] 1100.6045
 [35,] 1105.1443
 [36,] 1109.3912
 [37,] 1113.3455
 [38,] 1117.0069
 [39,] 1120.3755
 [40,] 1123.4514
 [41,] 1126.2345
 [42,] 1128.7248
 [43,] 1130.9223
 [44,] 1132.8271
 [45,] 1134.4391
 [46,] 1135.7583
 [47,] 1136.7847
 [48,] 1137.5183
 [49,] 1137.9592
 [50,] 1138.1073
 [51,] 1137.9626
 [52,] 1137.5251
 [53,] 1136.7949
 [54,] 1135.7718
 [55,] 1134.4560
 [56,] 1132.8474
 [57,] 1130.9460
 [58,] 1128.7519
 [59,] 1126.2650
 [60,] 1123.4853
 [61,] 1120.4128
 [62,] 1117.0475
 [63,] 1113.3895
 [64,] 1109.4386
 [65,] 1105.1950
 [66,] 1100.6587
 [67,] 1095.8295
 [68,] 1090.7076
 [69,] 1085.2929
 [70,] 1079.5854
 [71,] 1073.5851
 [72,] 1067.2920
 [73,] 1060.7062
 [74,] 1053.8276
 [75,] 1046.6562
 [76,] 1039.1920
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 [79,] 1015.0428
 [80,] 1006.4076
 [81,]  997.4795
 [82,]  988.2587
 [83,]  978.7450
 [84,]  968.9386
 [85,]  958.8395
 [86,]  948.4475
 [87,]  937.7628
 [88,]  926.7852
 [89,]  915.5149
 [90,]  903.9519
 [91,]  892.0960
 [92,]  879.9474
 [93,]  867.5060
 [94,]  854.7718
 [95,]  841.7448
 [96,]  828.4251
 [97,]  814.8126
 [98,]  800.9072
 [99,]  786.7092

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "arain_tot"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc
1      0      1     5       0        1

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

# Soil properties Interacted with soils 
baseline_quad_lmList_inter_soil <- lmList(yld_~N_kgha*soc_5_15cm+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot+population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm|year,tz_lsms_panel)

coef(baseline_quad_lmList_inter_soil )

     (Intercept)    N_kgha soc_5_15cm I(N_kgha^2)    P_kgha I(P_kgha^2)
2008    343.9101  6.698847  -2.692359  0.02174021 26.531656 -0.16463639
2010    692.0571  1.087224   1.914030  0.07309696 12.233782 -0.02059534
2012    767.5820  9.491734  15.658244  0.02125336  4.549200 -0.02907472
2014   -479.7448 -1.260977  16.684865  0.11029981  6.759490 -0.01194348
2020    216.9192  5.887231  -2.739373  0.07222982  8.983067 -0.01452422
         ncrops     hhmem    femhead headeduc   arain_tot population_density
2008 -138.50643 -2.322284  -67.72736 83.54387 -0.05721816        0.026166832
2010 -138.07521  3.551097  -36.67319 40.00607 -0.09393539       -0.008330409
2012  -82.17002 -6.116688  -14.98097 48.50166  0.04471733        0.030173269
2014 -134.81175  4.487315  -98.58965 85.58942 -0.01289640        0.101401619
2020 -109.87578 -2.349380 -111.51125 66.98645 -0.10376697        0.033707866
     wc2.1_30s_elev sand_0_5cm nitrogen_0_5cm ECN_5_15cm  pH_0_5cm
2008     0.35137049  -2.325245       4.475815   6.460216  73.03886
2010     0.20443438  -6.394482       3.326198   7.769064  80.76880
2012     0.18418625  -3.369767    -169.426525   1.204172  10.01049
2014     0.08260977  -1.463519    -119.571015  18.207836 237.62495
2020     0.33756358  -3.057517      10.235261  18.222466 124.18625
     N_kgha:soc_5_15cm
2008       -0.06433715
2010       -0.01991874
2012       -0.06270404
2014        0.35572779
2020       -0.13249067

(ci <- confint(baseline_quad_lmList_inter_soil))

An object of class "lmList4.confint"
, , (Intercept)

           2.5 %    97.5 %
2008  -519.85334 1207.6735
2010  -202.31750 1586.4316
2012    53.43794 1481.7261
2014 -1435.20171  475.7122
2020  -691.22520 1125.0637

, , N_kgha

          2.5 %    97.5 %
2008 -0.2143578 13.612051
2010 -6.1297834  8.304231
2012  3.2427582 15.740710
2014 -9.3281286  6.806174
2020 -0.9508376 12.725299

, , soc_5_15cm

          2.5 %   97.5 %
2008 -16.628074 11.24336
2010 -11.541305 15.36936
2012   4.786351 26.53014
2014   4.239503 29.13023
2020 -16.238419 10.75967

, , I(N_kgha^2)

             2.5 %     97.5 %
2008 -0.0366130574 0.08009347
2010  0.0038740448 0.14231988
2012 -0.0392280214 0.08173473
2014  0.0363548412 0.18424478
2020  0.0002638623 0.14419577

, , P_kgha

          2.5 %   97.5 %
2008 16.8536890 36.20962
2010  5.0478462 19.41972
2012 -0.2559697  9.35437
2014 -1.3324538 14.85143
2020  1.3011279 16.66501

, , I(P_kgha^2)

           2.5 %       97.5 %
2008 -0.26383131 -0.065441456
2010 -0.06652418  0.025333491
2012 -0.05513133 -0.003018106
2014 -0.08183048  0.057943514
2020 -0.09379758  0.064749146

, , ncrops

         2.5 %    97.5 %
2008 -177.9740 -99.03884
2010 -180.4288 -95.72163
2012 -115.4463 -48.89370
2014 -173.6847 -95.93884
2020 -152.9113 -66.84021

, , hhmem

          2.5 %    97.5 %
2008 -15.719942 11.075374
2010  -8.382750 15.484944
2012 -15.255479  3.022102
2014  -8.055085 17.029715
2020 -13.328658  8.629898

, , femhead

          2.5 %     97.5 %
2008 -154.97580  19.521083
2010 -122.48748  49.141106
2012  -87.61377  57.651834
2014 -188.75546  -8.423834
2020 -197.36485 -25.657645

, , headeduc

          2.5 %    97.5 %
2008  14.321146 152.76659
2010 -25.946560 105.95871
2012   0.830214  96.17311
2014  26.465012 144.71384
2020  11.714606 122.25830

, , arain_tot

           2.5 %      97.5 %
2008 -0.19732764  0.08289132
2010 -0.22859617  0.04072538
2012 -0.04861389  0.13804855
2014 -0.11363915  0.08784634
2020 -0.18275153 -0.02478241

, , population_density

            2.5 %     97.5 %
2008 -0.037964613 0.09029828
2010 -0.047017121 0.03035630
2012 -0.007839564 0.06818610
2014  0.017190111 0.18561313
2020 -0.005780656 0.07319639

, , wc2.1_30s_elev

           2.5 %    97.5 %
2008  0.26548197 0.4372590
2010  0.12245191 0.2864168
2012  0.11667963 0.2516929
2014 -0.01974614 0.1849657
2020  0.23330708 0.4418201

, , sand_0_5cm

          2.5 %     97.5 %
2008  -6.283020  1.6325300
2010 -10.249646 -2.5393183
2012  -6.526518 -0.2130158
2014  -6.232911  3.3058722
2020  -7.499812  1.3847794

, , nitrogen_0_5cm

         2.5 %    97.5 %
2008 -128.0588 137.01045
2010 -121.2371 127.88946
2012 -273.2392 -65.61384
2014 -253.2808  14.13880
2020 -136.1897 156.66024

, , ECN_5_15cm

          2.5 %   97.5 %
2008  -6.097579 19.01801
2010  -5.805745 21.34387
2012 -10.484846 12.89319
2014  -1.149270 37.56494
2020  -2.147989 38.59292

, , pH_0_5cm

         2.5 %    97.5 %
2008 -31.13951 177.21722
2010 -28.56635 190.10395
2012 -76.15668  96.17766
2014 123.13893 352.11097
2020  16.48966 231.88284

, , N_kgha:soc_5_15cm

           2.5 %    97.5 %
2008 -0.32004136 0.1913671
2010 -0.30505237 0.2652149
2012 -0.29481326 0.1694052
2014  0.08046209 0.6309935
2020 -0.36907017 0.1040888

plot(ci,cex=2, cex.lab=3, xlab="Maize yield (kg/ha) response", ylab="Year")

baseline_quad_lmList_inter_soil_est <- coef(baseline_quad_lmList_inter_soil)
baseline_quad_lmList_inter_soil_est <-t(as.data.frame(baseline_quad_lmList_inter_soil_est))
order_tab <-rep(1,18)
order_tab <- as.data.frame(order_tab)
baseline_quad_lmList_inter_soil_est_dt=cbind(baseline_quad_lmList_inter_soil_est,order_tab)


baseline_quad_lmList_inter_soil_ci <- confint(baseline_quad_lmList_inter_soil)
baseline_quad_lmList_inter_soil_ci_dt <-t(as.data.frame(baseline_quad_lmList_inter_soil_ci))
order_tab <- rep(2:3,18)
order_tab <- as.data.frame(order_tab)

baseline_quad_lmList_inter_soil_ci_dt=cbind(baseline_quad_lmList_inter_soil_ci_dt,order_tab)

baseline_quad_lmList_inter_soil_est_ci_dt=bind_rows(baseline_quad_lmList_inter_soil_est_dt,baseline_quad_lmList_inter_soil_ci_dt)

write.csv(baseline_quad_lmList_inter_soil_est_ci_dt,"tables/baseline_quad_lmList_inter_soil_est_ci_dt.csv")


library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('baseline_quad_lmList_inter_soil_est_ci_dt', 'baseline_quad_lmList_inter_soil_est_ci_dt.csv')"
        ),
        reactable(
            baseline_quad_lmList_inter_soil_est_ci_dt,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "baseline_quad_lmList_inter_soil_est_ci_dt"
        )
    )
)

## Visreg
library(visreg)

baseline_quad_inter_soils_2008 <- lm(yld_~N_kgha*soc_5_15cm+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot+population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm,data=tz_lsms_panel_2008)

baseline_quad_inter_soils_2010 <- lm(yld_~N_kgha*soc_5_15cm+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot+population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm,data=tz_lsms_panel_2010)

baseline_quad_inter_soils_2012 <- lm(yld_~N_kgha*soc_5_15cm+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot+population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm,data=tz_lsms_panel_2012)

baseline_quad_inter_soils_2014 <- lm(yld_~N_kgha*soc_5_15cm+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot+population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm,data=tz_lsms_panel_2014)

baseline_quad_inter_soils_2020 <- lm(yld_~N_kgha*soc_5_15cm+I(N_kgha^2)+P_kgha+I(P_kgha^2)+ncrops+hhmem+femhead+headeduc+arain_tot+population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm,data=tz_lsms_panel_2020)

baseline_quad_inter_soils_2008_v <- visreg2d(baseline_quad_inter_soils_2008, "N_kgha", "soc_5_15cm",ylab="Soil carbon (g per kg)",xlab="Nitrogen (kg per ha)", main="2008")

baseline_quad_inter_soils_2008_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  6.400000  6.792857  7.185714  7.578572  7.971429  8.364286  8.757143
 [8]  9.150000  9.542857  9.935715 10.328572 10.721429 11.114286 11.507143
[15] 11.900000 12.292857 12.685715 13.078572 13.471429 13.864286 14.257143
[22] 14.650000 15.042858 15.435715 15.828572 16.221429 16.614286 17.007143
[29] 17.400001 17.792858 18.185715 18.578572 18.971429 19.364286 19.757143
[36] 20.150001 20.542858 20.935715 21.328572 21.721429 22.114286 22.507144
[43] 22.900001 23.292858 23.685715 24.078572 24.471429 24.864286 25.257144
[50] 25.650001 26.042858 26.435715 26.828572 27.221429 27.614287 28.007144
[57] 28.400001 28.792858 29.185715 29.578572 29.971430 30.364287 30.757144
[64] 31.150001 31.542858 31.935715 32.328572 32.721430 33.114287 33.507144
[71] 33.900001 34.292858 34.685715 35.078573 35.471430 35.864287 36.257144
[78] 36.650001 37.042858 37.435716 37.828573 38.221430 38.614287 39.007144
[85] 39.400001 39.792858 40.185716 40.578573 40.971430 41.364287 41.757144
[92] 42.150001 42.542859 42.935716 43.328573 43.721430 44.114287 44.507144
[99] 44.900002

$z
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  702.4372  701.3794  700.3217  699.2640  698.2063  697.1486  696.0909
  [2,]  709.7587  708.6717  707.5846  706.4976  705.4106  704.3235  703.2365
  [3,]  717.1387  716.0224  714.9060  713.7897  712.6733  711.5570  710.4406
  [4,]  724.5772  723.4316  722.2859  721.1402  719.9946  718.8489  717.7032
  [5,]  732.0742  730.8992  729.7243  728.5493  727.3743  726.1993  725.0244
  [6,]  739.6297  738.4254  737.2211  736.0169  734.8126  733.6083  732.4040
  [7,]  747.2437  746.0101  744.7765  743.5429  742.3093  741.0757  739.8421
  [8,]  754.9162  753.6533  752.3904  751.1275  749.8645  748.6016  747.3387
  [9,]  762.6472  761.3550  760.0627  758.7705  757.4783  756.1860  754.8938
 [10,]  770.4367  769.1152  767.7936  766.4720  765.1505  763.8289  762.5074
 [11,]  778.2847  776.9338  775.5829  774.2321  772.8812  771.5303  770.1794
 [12,]  786.1912  784.8110  783.4308  782.0506  780.6704  779.2902  777.9100
 [13,]  794.1561  792.7466  791.3371  789.9276  788.5181  787.1086  785.6991
 [14,]  802.1796  800.7408  799.3020  797.8631  796.4243  794.9855  793.5467
 [15,]  810.2616  808.7934  807.3253  805.8572  804.3890  802.9209  801.4527
 [16,]  818.4020  816.9046  815.4071  813.9097  812.4122  810.9147  809.4173
 [17,]  826.6010  825.0742  823.5474  822.0207  820.4939  818.9671  817.4403
 [18,]  834.8584  833.3023  831.7463  830.1902  828.6341  827.0780  825.5219
 [19,]  843.1744  841.5890  840.0036  838.4182  836.8328  835.2473  833.6619
 [20,]  851.5488  849.9341  848.3194  846.7047  845.0899  843.4752  841.8605
 [21,]  859.9818  858.3377  856.6937  855.0496  853.4056  851.7616  850.1175
 [22,]  868.4732  866.7998  865.1265  863.4531  861.7798  860.1064  858.4331
 [23,]  877.0231  875.3204  873.6178  871.9151  870.2124  868.5098  866.8071
 [24,]  885.6315  883.8995  882.1676  880.4356  878.7036  876.9716  875.2396
 [25,]  894.2984  892.5371  890.7758  889.0145  887.2532  885.4919  883.7306
 [26,]  903.0239  901.2332  899.4426  897.6520  895.8614  894.0708  892.2801
 [27,]  911.8078  909.9878  908.1679  906.3480  904.5280  902.7081  900.8881
 [28,]  920.6502  918.8009  916.9517  915.1024  913.2532  911.4039  909.5546
 [29,]  929.5511  927.6725  925.7939  923.9154  922.0368  920.1582  918.2796
 [30,]  938.5105  936.6026  934.6947  932.7868  930.8789  928.9710  927.0631
 [31,]  947.5283  945.5911  943.6539  941.7167  939.7795  937.8423  935.9051
 [32,]  956.6047  954.6382  952.6717  950.7052  948.7387  946.7721  944.8056
 [33,]  965.7396  963.7438  961.7479  959.7521  957.7563  955.7604  953.7646
 [34,]  974.9330  972.9078  970.8827  968.8575  966.8324  964.8072  962.7821
 [35,]  984.1849  982.1304  980.0759  978.0214  975.9670  973.9125  971.8580
 [36,]  993.4952  991.4114  989.3276  987.2439  985.1601  983.0763  980.9925
 [37,] 1002.8641 1000.7510  998.6379  996.5248  994.4117  992.2986  990.1855
 [38,] 1012.2914 1010.1490 1008.0066 1005.8642 1003.7218 1001.5793  999.4369
 [39,] 1021.7773 1019.6055 1017.4338 1015.2621 1013.0903 1010.9186 1008.7469
 [40,] 1031.3216 1029.1206 1026.9195 1024.7185 1022.5174 1020.3164 1018.1153
 [41,] 1040.9245 1038.6941 1036.4637 1034.2334 1032.0030 1029.7726 1027.5423
 [42,] 1050.5858 1048.3261 1046.0664 1043.8068 1041.5471 1039.2874 1037.0277
 [43,] 1060.3056 1058.0166 1055.7276 1053.4386 1051.1496 1048.8606 1046.5716
 [44,] 1070.0840 1067.7656 1065.4473 1063.1290 1060.8107 1058.4924 1056.1741
 [45,] 1079.9208 1077.5731 1075.2255 1072.8779 1070.5303 1068.1826 1065.8350
 [46,] 1089.8161 1087.4391 1085.0622 1082.6853 1080.3083 1077.9314 1075.5544
 [47,] 1099.7699 1097.3636 1094.9574 1092.5511 1090.1449 1087.7386 1085.3323
 [48,] 1109.7822 1107.3466 1104.9111 1102.4755 1100.0399 1097.6043 1095.1687
 [49,] 1119.8530 1117.3881 1114.9232 1112.4583 1109.9934 1107.5285 1105.0636
 [50,] 1129.9823 1127.4881 1124.9939 1122.4997 1120.0055 1117.5112 1115.0170
 [51,] 1140.1701 1137.6466 1135.1231 1132.5995 1130.0760 1127.5525 1125.0289
 [52,] 1150.4164 1147.8636 1145.3107 1142.7579 1140.2050 1137.6522 1135.0993
 [53,] 1160.7212 1158.1390 1155.5569 1152.9747 1150.3925 1147.8104 1145.2282
 [54,] 1171.0845 1168.4730 1165.8615 1163.2500 1160.6385 1158.0271 1155.4156
 [55,] 1181.5062 1178.8654 1176.2246 1173.5838 1170.9431 1168.3023 1165.6615
 [56,] 1191.9865 1189.3164 1186.6463 1183.9762 1181.3061 1178.6359 1175.9658
 [57,] 1202.5253 1199.8258 1197.1264 1194.4270 1191.7276 1189.0281 1186.3287
 [58,] 1213.1225 1210.3938 1207.6650 1204.9363 1202.2076 1199.4788 1196.7501
 [59,] 1223.7783 1221.0202 1218.2622 1215.5041 1212.7460 1209.9880 1207.2299
 [60,] 1234.4925 1231.7052 1228.9178 1226.1304 1223.3430 1220.5557 1217.7683
 [61,] 1245.2653 1242.4486 1239.6319 1236.8152 1233.9985 1231.1818 1228.3651
 [62,] 1256.0965 1253.2505 1250.4045 1247.5585 1244.7125 1241.8665 1239.0205
 [63,] 1266.9863 1264.1109 1261.2356 1258.3603 1255.4850 1252.6096 1249.7343
 [64,] 1277.9345 1275.0299 1272.1252 1269.2206 1266.3159 1263.4113 1260.5066
 [65,] 1288.9412 1286.0073 1283.0733 1280.1393 1277.2054 1274.2714 1271.3375
 [66,] 1300.0064 1297.0432 1294.0799 1291.1166 1288.1533 1285.1901 1282.2268
 [67,] 1311.1302 1308.1376 1305.1450 1302.1524 1299.1598 1296.1672 1293.1746
 [68,] 1322.3124 1319.2905 1316.2686 1313.2466 1310.2247 1307.2028 1304.1809
 [69,] 1333.5531 1330.5019 1327.4506 1324.3994 1321.3482 1318.2970 1315.2457
 [70,] 1344.8523 1341.7717 1338.6912 1335.6107 1332.5301 1329.4496 1326.3690
 [71,] 1356.2100 1353.1001 1349.9903 1346.8804 1343.7706 1340.6607 1337.5508
 [72,] 1367.6262 1364.4870 1361.3478 1358.2087 1355.0695 1351.9303 1348.7911
 [73,] 1379.1009 1375.9324 1372.7639 1369.5954 1366.4269 1363.2584 1360.0899
 [74,] 1390.6341 1387.4362 1384.2384 1381.0406 1377.8428 1374.6450 1371.4472
 [75,] 1402.2257 1398.9986 1395.7715 1392.5444 1389.3172 1386.0901 1382.8630
 [76,] 1413.8759 1410.6195 1407.3630 1404.1066 1400.8502 1397.5937 1394.3373
 [77,] 1425.5846 1422.2988 1419.0131 1415.7273 1412.4416 1409.1558 1405.8700
 [78,] 1437.3517 1434.0367 1430.7216 1427.4065 1424.0915 1420.7764 1417.4613
 [79,] 1449.1774 1445.8330 1442.4886 1439.1442 1435.7999 1432.4555 1429.1111
 [80,] 1461.0616 1457.6879 1454.3142 1450.9404 1447.5667 1444.1930 1440.8193
 [81,] 1473.0042 1469.6012 1466.1982 1462.7951 1459.3921 1455.9891 1452.5861
 [82,] 1485.0054 1481.5730 1478.1407 1474.7083 1471.2760 1467.8437 1464.4113
 [83,] 1497.0650 1493.6033 1490.1417 1486.6800 1483.2184 1479.7567 1476.2951
 [84,] 1509.1831 1505.6922 1502.2012 1498.7102 1495.2193 1491.7283 1488.2373
 [85,] 1521.3598 1517.8395 1514.3192 1510.7989 1507.2786 1503.7583 1500.2381
 [86,] 1533.5949 1530.0453 1526.4957 1522.9461 1519.3965 1515.8469 1512.2973
 [87,] 1545.8885 1542.3096 1538.7307 1535.1518 1531.5728 1527.9939 1524.4150
 [88,] 1558.2406 1554.6324 1551.0242 1547.4159 1543.8077 1540.1995 1536.5912
 [89,] 1570.6513 1567.0137 1563.3762 1559.7386 1556.1010 1552.4635 1548.8259
 [90,] 1583.1204 1579.4535 1575.7866 1572.1198 1568.4529 1564.7860 1561.1192
 [91,] 1595.6480 1591.9518 1588.2556 1584.5594 1580.8632 1577.1670 1573.4709
 [92,] 1608.2341 1604.5086 1600.7831 1597.0576 1593.3321 1589.6066 1585.8811
 [93,] 1620.8787 1617.1238 1613.3690 1609.6142 1605.8594 1602.1046 1598.3498
 [94,] 1633.5818 1629.7976 1626.0135 1622.2294 1618.4452 1614.6611 1610.8769
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            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
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 [28,]  907.7054  905.8561  904.0069  902.1576  900.3084  898.4591  896.6099
 [29,]  916.4011  914.5225  912.6439  910.7654  908.8868  907.0082  905.1297
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 [33,]  951.7688  949.7729  947.7771  945.7812  943.7854  941.7896  939.7937
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 [40,] 1015.9143 1013.7132 1011.5122 1009.3111 1007.1101 1004.9090 1002.7080
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 [43,] 1044.2826 1041.9936 1039.7046 1037.4156 1035.1266 1032.8376 1030.5486
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 [49,] 1102.5987 1100.1338 1097.6689 1095.2040 1092.7391 1090.2742 1087.8094
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 [52,] 1132.5465 1129.9936 1127.4408 1124.8879 1122.3351 1119.7822 1117.2294
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 [71,] 1334.4410 1331.3311 1328.2213 1325.1114 1322.0016 1318.8917 1315.7818
 [72,] 1345.6520 1342.5128 1339.3736 1336.2344 1333.0953 1329.9561 1326.8169
 [73,] 1356.9214 1353.7529 1350.5845 1347.4160 1344.2475 1341.0790 1337.9105
 [74,] 1368.2494 1365.0516 1361.8538 1358.6560 1355.4582 1352.2604 1349.0626
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 [76,] 1391.0808 1387.8244 1384.5680 1381.3115 1378.0551 1374.7986 1371.5422
 [77,] 1402.5843 1399.2985 1396.0128 1392.7270 1389.4413 1386.1555 1382.8698
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 [80,] 1437.4456 1434.0719 1430.6982 1427.3245 1423.9508 1420.5771 1417.2034
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           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
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 [43,] 1028.2596 1025.9706 1023.6816 1021.3926 1019.1036 1016.8146 1014.5256
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           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
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 [43,]  996.2136  993.9246  991.6356  989.3466  987.0576  984.7686  982.4796
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 [67,] 1227.3376 1224.3450 1221.3524 1218.3598 1215.3672 1212.3746 1209.3820
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 [69,] 1248.1188 1245.0676 1242.0163 1238.9651 1235.9139 1232.8627 1229.8114
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 [71,] 1269.1340 1266.0241 1262.9143 1259.8044 1256.6945 1253.5847 1250.4748
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 [73,] 1290.3831 1287.2146 1284.0462 1280.8777 1277.7092 1274.5407 1271.3722
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           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
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           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
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 [71,] 1225.5960 1222.4861 1219.3763 1216.2664 1213.1565 1210.0467 1206.9368
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 [73,] 1246.0243 1242.8558 1239.6873 1236.5188 1233.3503 1230.1818 1227.0133
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           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
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 [63,] 1126.0953 1123.2199 1120.3446 1117.4693 1114.5939 1111.7186 1108.8433
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 [70,] 1193.9058 1190.8252 1187.7447 1184.6641 1181.5836 1178.5031 1175.4225
 [71,] 1203.8270 1200.7171 1197.6072 1194.4974 1191.3875 1188.2777 1185.1678
 [72,] 1213.8067 1210.6675 1207.5283 1204.3891 1201.2500 1198.1108 1194.9716
 [73,] 1223.8448 1220.6764 1217.5079 1214.3394 1211.1709 1208.0024 1204.8339
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           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
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 [34,]  861.5245  859.4993  857.4742  855.4490  853.4238  851.3987  849.3735
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 [36,]  876.8033  874.7195  872.6357  870.5519  868.4681  866.3843  864.3005
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 [38,]  892.3160  890.1736  888.0312  885.8888  883.7464  881.6040  879.4615
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 [43,]  932.1217  929.8327  927.5437  925.2547  922.9657  920.6767  918.3877
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 [50,]  990.3063  987.8121  985.3179  982.8237  980.3295  977.8353  975.3410
 [51,]  998.8524  996.3289  993.8053  991.2818  988.7583  986.2348  983.7112
 [52,] 1007.4570 1004.9041 1002.3513  999.7984  997.2456  994.6927  992.1399
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 [54,] 1024.8416 1022.2301 1019.6187 1017.0072 1014.3957 1011.7842 1009.1727
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 [61,] 1087.5304 1084.7137 1081.8970 1079.0803 1076.2636 1073.4470 1070.6303
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 [63,] 1105.9680 1103.0926 1100.2173 1097.3420 1094.4667 1091.5913 1088.7160
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 [67,] 1143.5450 1140.5524 1137.5598 1134.5672 1131.5746 1128.5820 1125.5894
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           [,71]     [,72]     [,73]     [,74]     [,75]     [,76]     [,77]
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           [,85]     [,86]     [,87]     [,88]     [,89]     [,90]     [,91]
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 [54,]  951.7202  949.1087  946.4972  943.8857  941.2743  938.6628  936.0513
 [55,]  959.6794  957.0386  954.3978  951.7570  949.1162  946.4754  943.8346
 [56,]  967.6971  965.0270  962.3569  959.6867  957.0166  954.3465  951.6764
 [57,]  975.7733  973.0738  970.3744  967.6750  964.9756  962.2761  959.5767
 [58,]  983.9080  981.1792  978.4505  975.7217  972.9930  970.2642  967.5355
 [59,]  992.1011  989.3431  986.5850  983.8270  981.0689  978.3108  975.5528
 [60,] 1000.3528  997.5654  994.7781  991.9907  989.2033  986.4159  983.6286
 [61,] 1008.6630 1005.8463 1003.0296 1000.2129  997.3962  994.5795  991.7628
 [62,] 1017.0317 1014.1856 1011.3396 1008.4936 1005.6476 1002.8016  999.9556
 [63,] 1025.4588 1022.5835 1019.7082 1016.8328 1013.9575 1011.0822 1008.2069
 [64,] 1033.9445 1031.0398 1028.1352 1025.2305 1022.3259 1019.4213 1016.5166
 [65,] 1042.4886 1039.5547 1036.6207 1033.6868 1030.7528 1027.8188 1024.8849
 [66,] 1051.0913 1048.1280 1045.1647 1042.2015 1039.2382 1036.2749 1033.3116
 [67,] 1059.7524 1056.7598 1053.7672 1050.7746 1047.7821 1044.7895 1041.7969
 [68,] 1068.4721 1065.4502 1062.4282 1059.4063 1056.3844 1053.3625 1050.3406
 [69,] 1077.2502 1074.1990 1071.1477 1068.0965 1065.0453 1061.9941 1058.9428
 [70,] 1086.0868 1083.0063 1079.9257 1076.8452 1073.7647 1070.6841 1067.6036
 [71,] 1094.9819 1091.8721 1088.7622 1085.6524 1082.5425 1079.4327 1076.3228
 [72,] 1103.9356 1100.7964 1097.6572 1094.5180 1091.3789 1088.2397 1085.1005
 [73,] 1112.9477 1109.7792 1106.6107 1103.4422 1100.2737 1097.1052 1093.9367
 [74,] 1122.0183 1118.8205 1115.6227 1112.4249 1109.2271 1106.0293 1102.8315
 [75,] 1131.1474 1127.9203 1124.6932 1121.4660 1118.2389 1115.0118 1111.7847
 [76,] 1140.3350 1137.0786 1133.8221 1130.5657 1127.3092 1124.0528 1120.7964
 [77,] 1149.5811 1146.2953 1143.0096 1139.7238 1136.4381 1133.1523 1129.8666
 [78,] 1158.8857 1155.5706 1152.2555 1148.9405 1145.6254 1142.3103 1138.9953
 [79,] 1168.2488 1164.9044 1161.5600 1158.2156 1154.8712 1151.5268 1148.1824
 [80,] 1177.6704 1174.2967 1170.9229 1167.5492 1164.1755 1160.8018 1157.4281
 [81,] 1187.1504 1183.7474 1180.3444 1176.9414 1173.5383 1170.1353 1166.7323
 [82,] 1196.6890 1193.2567 1189.8243 1186.3920 1182.9597 1179.5273 1176.0950
 [83,] 1206.2861 1202.8244 1199.3628 1195.9011 1192.4395 1188.9778 1185.5161
 [84,] 1215.9416 1212.4507 1208.9597 1205.4687 1201.9778 1198.4868 1194.9958
 [85,] 1225.6557 1222.1354 1218.6151 1215.0948 1211.5745 1208.0543 1204.5340
 [86,] 1235.4282 1231.8786 1228.3290 1224.7794 1221.2298 1217.6802 1214.1306
 [87,] 1245.2593 1241.6804 1238.1015 1234.5225 1230.9436 1227.3647 1223.7858
 [88,] 1255.1488 1251.5406 1247.9324 1244.3241 1240.7159 1237.1077 1233.4994
 [89,] 1265.0969 1261.4593 1257.8218 1254.1842 1250.5467 1246.9091 1243.2716
 [90,] 1275.1034 1271.4365 1267.7697 1264.1028 1260.4359 1256.7691 1253.1022
 [91,] 1285.1684 1281.4723 1277.7761 1274.0799 1270.3837 1266.6875 1262.9913
 [92,] 1295.2920 1291.5665 1287.8410 1284.1155 1280.3900 1276.6645 1272.9390
 [93,] 1305.4740 1301.7192 1297.9644 1294.2095 1290.4547 1286.6999 1282.9451
 [94,] 1315.7145 1311.9304 1308.1462 1304.3621 1300.5780 1296.7938 1293.0097
 [95,] 1326.0135 1322.2001 1318.3866 1314.5732 1310.7597 1306.9463 1303.1328
 [96,] 1336.3710 1332.5283 1328.6855 1324.8427 1321.0000 1317.1572 1313.3144
 [97,] 1346.7870 1342.9149 1339.0429 1335.1708 1331.2987 1327.4266 1323.5545
 [98,] 1357.2615 1353.3601 1349.4587 1345.5573 1341.6559 1337.7545 1333.8531
 [99,] 1367.7945 1363.8638 1359.9331 1356.0024 1352.0717 1348.1409 1344.2102
           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
  [1,]  606.1853  605.1276  604.0699  603.0122  601.9545  600.8968  599.8391
  [2,]  610.8391  609.7520  608.6650  607.5780  606.4910  605.4039  604.3169
  [3,]  615.5513  614.4350  613.3186  612.2023  611.0859  609.9696  608.8532
  [4,]  620.3220  619.1764  618.0307  616.8850  615.7394  614.5937  613.4481
  [5,]  625.1512  623.9763  622.8013  621.6263  620.4513  619.2764  618.1014
  [6,]  630.0390  628.8347  627.6304  626.4261  625.2218  624.0175  622.8132
  [7,]  634.9852  633.7516  632.5180  631.2843  630.0507  628.8171  627.5835
  [8,]  639.9899  638.7270  637.4640  636.2011  634.9382  633.6752  632.4123
  [9,]  645.0531  643.7608  642.4686  641.1764  639.8841  638.5919  637.2996
 [10,]  650.1748  648.8532  647.5317  646.2101  644.8885  643.5670  642.2454
 [11,]  655.3550  654.0041  652.6532  651.3024  649.9515  648.6006  647.2497
 [12,]  660.5937  659.2135  657.8333  656.4531  655.0729  653.6927  652.3125
 [13,]  665.8909  664.4813  663.0718  661.6623  660.2528  658.8433  657.4338
 [14,]  671.2465  669.8077  668.3689  666.9301  665.4912  664.0524  662.6136
 [15,]  676.6607  675.1926  673.7244  672.2563  670.7881  669.3200  667.8519
 [16,]  682.1334  680.6359  679.1385  677.6410  676.1435  674.6461  673.1486
 [17,]  687.6645  686.1378  684.6110  683.0842  681.5574  680.0307  678.5039
 [18,]  693.2542  691.6981  690.1420  688.5859  687.0298  685.4737  683.9177
 [19,]  698.9024  697.3170  695.7315  694.1461  692.5607  690.9753  689.3899
 [20,]  704.6090  702.9943  701.3796  699.7648  698.1501  696.5354  694.9207
 [21,]  710.3742  708.7301  707.0861  705.4420  703.7980  702.1540  700.5099
 [22,]  716.1978  714.5244  712.8511  711.1777  709.5044  707.8310  706.1577
 [23,]  722.0799  720.3773  718.6746  716.9719  715.2692  713.5666  711.8639
 [24,]  728.0206  726.2886  724.5566  722.8246  721.0926  719.3606  717.6286
 [25,]  734.0197  732.2584  730.4971  728.7358  726.9745  725.2132  723.4519
 [26,]  740.0773  738.2867  736.4961  734.7055  732.9148  731.1242  729.3336
 [27,]  746.1934  744.3735  742.5536  740.7336  738.9137  737.0937  735.2738
 [28,]  752.3680  750.5188  748.6695  746.8203  744.9710  743.1218  741.2725
 [29,]  758.6012  756.7226  754.8440  752.9654  751.0869  749.2083  747.3297
 [30,]  764.8928  762.9849  761.0770  759.1691  757.2612  755.3533  753.4454
 [31,]  771.2429  769.3057  767.3685  765.4312  763.4940  761.5568  759.6196
 [32,]  777.6515  775.6849  773.7184  771.7519  769.7854  767.8189  765.8523
 [33,]  784.1185  782.1227  780.1269  778.1310  776.1352  774.1394  772.1435
 [34,]  790.6441  788.6190  786.5938  784.5687  782.5435  780.5184  778.4932
 [35,]  797.2282  795.1737  793.1193  791.0648  789.0103  786.9559  784.9014
 [36,]  803.8708  801.7870  799.7032  797.6194  795.5356  793.4519  791.3681
 [37,]  810.5719  808.4588  806.3457  804.2325  802.1194  800.0063  797.8932
 [38,]  817.3314  815.1890  813.0466  810.9042  808.7617  806.6193  804.4769
 [39,]  824.1495  821.9777  819.8060  817.6343  815.4625  813.2908  811.1191
 [40,]  831.0260  828.8250  826.6239  824.4229  822.2218  820.0208  817.8197
 [41,]  837.9611  835.7307  833.5004  831.2700  829.0396  826.8093  824.5789
 [42,]  844.9546  842.6950  840.4353  838.1756  835.9159  833.6562  831.3965
 [43,]  852.0067  849.7177  847.4287  845.1397  842.8507  840.5617  838.2727
 [44,]  859.1172  856.7989  854.4806  852.1623  849.8440  847.5256  845.2073
 [45,]  866.2862  863.9386  861.5910  859.2434  856.8957  854.5481  852.2005
 [46,]  873.5138  871.1368  868.7599  866.3829  864.0060  861.6290  859.2521
 [47,]  880.7998  878.3935  875.9873  873.5810  871.1747  868.7685  866.3622
 [48,]  888.1443  885.7087  883.2732  880.8376  878.4020  875.9664  873.5308
 [49,]  895.5473  893.0824  890.6175  888.1526  885.6877  883.2228  880.7579
 [50,]  903.0088  900.5146  898.0204  895.5262  893.0320  890.5378  888.0436
 [51,]  910.5288  908.0053  905.4818  902.9583  900.4347  897.9112  895.3877
 [52,]  918.1073  915.5545  913.0017  910.4488  907.8960  905.3431  902.7903
 [53,]  925.7443  923.1622  920.5800  917.9979  915.4157  912.8335  910.2514
 [54,]  933.4398  930.8284  928.2169  925.6054  922.9939  920.3824  917.7710
 [55,]  941.1938  938.5530  935.9122  933.2714  930.6306  927.9898  925.3490
 [56,]  949.0063  946.3362  943.6661  940.9960  938.3258  935.6557  932.9856
 [57,]  956.8773  954.1778  951.4784  948.7790  946.0796  943.3801  940.6807
 [58,]  964.8067  962.0780  959.3493  956.6205  953.8918  951.1630  948.4343
 [59,]  972.7947  970.0367  967.2786  964.5205  961.7625  959.0044  956.2463
 [60,]  980.8412  978.0538  975.2664  972.4790  969.6917  966.9043  964.1169
 [61,]  988.9461  986.1294  983.3127  980.4961  977.6794  974.8627  972.0460
 [62,]  997.1096  994.2636  991.4176  988.5716  985.7255  982.8795  980.0335
 [63,] 1005.3315 1002.4562  999.5809  996.7056  993.8302  990.9549  988.0796
 [64,] 1013.6120 1010.7073 1007.8027 1004.8980 1001.9934  999.0888  996.1841
 [65,] 1021.9509 1019.0170 1016.0830 1013.1490 1010.2151 1007.2811 1004.3472
 [66,] 1030.3483 1027.3851 1024.4218 1021.4585 1018.4952 1015.5320 1012.5687
 [67,] 1038.8043 1035.8117 1032.8191 1029.8265 1026.8339 1023.8413 1020.8487
 [68,] 1047.3187 1044.2968 1041.2749 1038.2530 1035.2311 1032.2092 1029.1872
 [69,] 1055.8916 1052.8404 1049.7892 1046.7379 1043.6867 1040.6355 1037.5843
 [70,] 1064.5230 1061.4425 1058.3620 1055.2814 1052.2009 1049.1203 1046.0398
 [71,] 1073.2129 1070.1031 1066.9932 1063.8834 1060.7735 1057.6637 1054.5538
 [72,] 1081.9613 1078.8222 1075.6830 1072.5438 1069.4047 1066.2655 1063.1263
 [73,] 1090.7683 1087.5998 1084.4313 1081.2628 1078.0943 1074.9258 1071.7573
 [74,] 1099.6336 1096.4358 1093.2380 1090.0402 1086.8424 1083.6446 1080.4468
 [75,] 1108.5575 1105.3304 1102.1033 1098.8762 1095.6490 1092.4219 1089.1948
 [76,] 1117.5399 1114.2835 1111.0270 1107.7706 1104.5142 1101.2577 1098.0013
 [77,] 1126.5808 1123.2950 1120.0093 1116.7235 1113.4378 1110.1520 1106.8663
 [78,] 1135.6802 1132.3651 1129.0500 1125.7350 1122.4199 1119.1048 1115.7897
 [79,] 1144.8381 1141.4937 1138.1493 1134.8049 1131.4605 1128.1161 1124.7717
 [80,] 1154.0544 1150.6807 1147.3070 1143.9333 1140.5596 1137.1859 1133.8122
 [81,] 1163.3293 1159.9263 1156.5232 1153.1202 1149.7172 1146.3142 1142.9112
 [82,] 1172.6626 1169.2303 1165.7980 1162.3656 1158.9333 1155.5010 1152.0686
 [83,] 1182.0545 1178.5928 1175.1312 1171.6695 1168.2079 1164.7462 1161.2846
 [84,] 1191.5048 1188.0139 1184.5229 1181.0319 1177.5410 1174.0500 1170.5590
 [85,] 1201.0137 1197.4934 1193.9731 1190.4528 1186.9325 1183.4123 1179.8920
 [86,] 1210.5810 1207.0314 1203.4818 1199.9322 1196.3826 1192.8330 1189.2834
 [87,] 1220.2069 1216.6279 1213.0490 1209.4701 1205.8912 1202.3123 1198.7333
 [88,] 1229.8912 1226.2830 1222.6747 1219.0665 1215.4582 1211.8500 1208.2418
 [89,] 1239.6340 1235.9965 1232.3589 1228.7214 1225.0838 1221.4463 1217.8087
 [90,] 1249.4353 1245.7685 1242.1016 1238.4347 1234.7679 1231.1010 1227.4341
 [91,] 1259.2952 1255.5990 1251.9028 1248.2066 1244.5104 1240.8142 1237.1180
 [92,] 1269.2135 1265.4880 1261.7625 1258.0370 1254.3115 1250.5860 1246.8605
 [93,] 1279.1903 1275.4355 1271.6806 1267.9258 1264.1710 1260.4162 1256.6614
 [94,] 1289.2256 1285.4414 1281.6573 1277.8732 1274.0890 1270.3049 1266.5208
 [95,] 1299.3194 1295.5059 1291.6925 1287.8790 1284.0656 1280.2521 1276.4387
 [96,] 1309.4717 1305.6289 1301.7861 1297.9434 1294.1006 1290.2578 1286.4151
 [97,] 1319.6824 1315.8104 1311.9383 1308.0662 1304.1941 1300.3220 1296.4499
 [98,] 1329.9517 1326.0503 1322.1489 1318.2475 1314.3461 1310.4447 1306.5433
 [99,] 1340.2795 1336.3488 1332.4181 1328.4874 1324.5566 1320.6259 1316.6952
           [,99]
  [1,]  598.7813
  [2,]  603.2299
  [3,]  607.7369
  [4,]  612.3024
  [5,]  616.9264
  [6,]  621.6089
  [7,]  626.3499
  [8,]  631.1494
  [9,]  636.0074
 [10,]  640.9239
 [11,]  645.8988
 [12,]  650.9323
 [13,]  656.0243
 [14,]  661.1748
 [15,]  666.3837
 [16,]  671.6512
 [17,]  676.9771
 [18,]  682.3616
 [19,]  687.8045
 [20,]  693.3059
 [21,]  698.8659
 [22,]  704.4843
 [23,]  710.1612
 [24,]  715.8966
 [25,]  721.6906
 [26,]  727.5430
 [27,]  733.4539
 [28,]  739.4233
 [29,]  745.4512
 [30,]  751.5376
 [31,]  757.6824
 [32,]  763.8858
 [33,]  770.1477
 [34,]  776.4681
 [35,]  782.8469
 [36,]  789.2843
 [37,]  795.7801
 [38,]  802.3345
 [39,]  808.9473
 [40,]  815.6187
 [41,]  822.3485
 [42,]  829.1369
 [43,]  835.9837
 [44,]  842.8890
 [45,]  849.8528
 [46,]  856.8751
 [47,]  863.9559
 [48,]  871.0952
 [49,]  878.2930
 [50,]  885.5493
 [51,]  892.8641
 [52,]  900.2374
 [53,]  907.6692
 [54,]  915.1595
 [55,]  922.7082
 [56,]  930.3155
 [57,]  937.9813
 [58,]  945.7055
 [59,]  953.4883
 [60,]  961.3295
 [61,]  969.2293
 [62,]  977.1875
 [63,]  985.2042
 [64,]  993.2795
 [65,] 1001.4132
 [66,] 1009.6054
 [67,] 1017.8561
 [68,] 1026.1653
 [69,] 1034.5330
 [70,] 1042.9592
 [71,] 1051.4439
 [72,] 1059.9871
 [73,] 1068.5888
 [74,] 1077.2490
 [75,] 1085.9677
 [76,] 1094.7448
 [77,] 1103.5805
 [78,] 1112.4747
 [79,] 1121.4273
 [80,] 1130.4385
 [81,] 1139.5081
 [82,] 1148.6363
 [83,] 1157.8229
 [84,] 1167.0681
 [85,] 1176.3717
 [86,] 1185.7338
 [87,] 1195.1544
 [88,] 1204.6335
 [89,] 1214.1712
 [90,] 1223.7673
 [91,] 1233.4219
 [92,] 1243.1350
 [93,] 1252.9065
 [94,] 1262.7366
 [95,] 1272.6252
 [96,] 1282.5723
 [97,] 1292.5779
 [98,] 1302.6419
 [99,] 1312.7645

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "soc_5_15cm"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc arain_tot population_density
1      0      2     5       0        0   1036.09           92.07851
  wc2.1_30s_elev sand_0_5cm nitrogen_0_5cm ECN_5_15cm pH_0_5cm
1           1148         56            1.3        0.4     6.02

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_soils_2010_v <- visreg2d(baseline_quad_inter_soils_2010, "N_kgha", "soc_5_15cm",ylab="Soil carbon (g per kg)",xlab="Nitrogen (kg per ha)", main="2010")

baseline_quad_inter_soils_2010_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  6.400000  6.792857  7.185714  7.578572  7.971429  8.364286  8.757143
 [8]  9.150000  9.542857  9.935715 10.328572 10.721429 11.114286 11.507143
[15] 11.900000 12.292857 12.685715 13.078572 13.471429 13.864286 14.257143
[22] 14.650000 15.042858 15.435715 15.828572 16.221429 16.614286 17.007143
[29] 17.400001 17.792858 18.185715 18.578572 18.971429 19.364286 19.757143
[36] 20.150001 20.542858 20.935715 21.328572 21.721429 22.114286 22.507144
[43] 22.900001 23.292858 23.685715 24.078572 24.471429 24.864286 25.257144
[50] 25.650001 26.042858 26.435715 26.828572 27.221429 27.614287 28.007144
[57] 28.400001 28.792858 29.185715 29.578572 29.971430 30.364287 30.757144
[64] 31.150001 31.542858 31.935715 32.328572 32.721430 33.114287 33.507144
[71] 33.900001 34.292858 34.685715 35.078573 35.471430 35.864287 36.257144
[78] 36.650001 37.042858 37.435716 37.828573 38.221430 38.614287 39.007144
[85] 39.400001 39.792858 40.185716 40.578573 40.971430 41.364287 41.757144
[92] 42.150001 42.542859 42.935716 43.328573 43.721430 44.114287 44.507144
[99] 44.900002

$z
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  725.1060  725.8580  726.6099  727.3619  728.1138  728.8657  729.6177
  [2,]  726.3176  727.0604  727.8033  728.5462  729.2890  730.0319  730.7748
  [3,]  727.7258  728.4596  729.1934  729.9271  730.6609  731.3947  732.1285
  [4,]  729.3307  730.0554  730.7801  731.5048  732.2295  732.9542  733.6789
  [5,]  731.1322  731.8479  732.5635  733.2791  733.9948  734.7104  735.4260
  [6,]  733.1305  733.8370  734.5436  735.2501  735.9567  736.6633  737.3698
  [7,]  735.3254  736.0229  736.7204  737.4178  738.1153  738.8128  739.5103
  [8,]  737.7170  738.4054  739.0938  739.7822  740.4706  741.1590  741.8474
  [9,]  740.3053  740.9846  741.6639  742.3432  743.0226  743.7019  744.3812
 [10,]  743.0902  743.7605  744.4307  745.1010  745.7712  746.4415  747.1117
 [11,]  746.0718  746.7330  747.3942  748.0554  748.7166  749.3777  750.0389
 [12,]  749.2502  749.9023  750.5544  751.2065  751.8586  752.5107  753.1628
 [13,]  752.6251  753.2682  753.9112  754.5542  755.1972  755.8403  756.4833
 [14,]  756.1968  756.8308  757.4647  758.0987  758.7326  759.3666  760.0005
 [15,]  759.9652  760.5900  761.2149  761.8398  762.4646  763.0895  763.7144
 [16,]  763.9302  764.5460  765.1618  765.7776  766.3934  767.0092  767.6250
 [17,]  768.0919  768.6986  769.3053  769.9120  770.5188  771.1255  771.7322
 [18,]  772.4503  773.0479  773.6456  774.2432  774.8408  775.4385  776.0361
 [19,]  777.0053  777.5939  778.1825  778.7710  779.3596  779.9482  780.5367
 [20,]  781.7571  782.3366  782.9160  783.4955  784.0750  784.6545  785.2340
 [21,]  786.7055  787.2759  787.8463  788.4167  788.9871  789.5575  790.1280
 [22,]  791.8506  792.4119  792.9732  793.5346  794.0959  794.6573  795.2186
 [23,]  797.1923  797.7446  798.2969  798.8491  799.4014  799.9537  800.5059
 [24,]  802.7308  803.2740  803.8172  804.3604  804.9035  805.4467  805.9899
 [25,]  808.4659  809.0000  809.5341  810.0683  810.6024  811.1365  811.6706
 [26,]  814.3977  814.9228  815.4478  815.9728  816.4979  817.0229  817.5479
 [27,]  820.5262  821.0422  821.5581  822.0741  822.5900  823.1060  823.6220
 [28,]  826.8514  827.3583  827.8651  828.3720  828.8789  829.3858  829.8927
 [29,]  833.3732  833.8710  834.3688  834.8666  835.3644  835.8622  836.3600
 [30,]  840.0917  840.5805  841.0692  841.5579  842.0467  842.5354  843.0241
 [31,]  847.0069  847.4866  847.9662  848.4459  848.9255  849.4052  849.8848
 [32,]  854.1188  854.5894  855.0600  855.5305  856.0011  856.4717  856.9423
 [33,]  861.4274  861.8889  862.3504  862.8119  863.2734  863.7349  864.1964
 [34,]  868.9326  869.3850  869.8375  870.2899  870.7423  871.1947  871.6471
 [35,]  876.6345  877.0779  877.5212  877.9646  878.4079  878.8512  879.2946
 [36,]  884.5331  884.9674  885.4017  885.8359  886.2702  886.7045  887.1387
 [37,]  892.6284  893.0536  893.4788  893.9040  894.3292  894.7543  895.1795
 [38,]  900.9203  901.3364  901.7526  902.1687  902.5848  903.0009  903.4170
 [39,]  909.4090  909.8160  910.2230  910.6301  911.0371  911.4442  911.8512
 [40,]  918.0943  918.4922  918.8902  919.2881  919.6861  920.0841  920.4820
 [41,]  926.9762  927.3651  927.7540  928.1429  928.5318  928.9207  929.3096
 [42,]  936.0549  936.4347  936.8145  937.1943  937.5741  937.9540  938.3338
 [43,]  945.3302  945.7010  946.0717  946.4424  946.8132  947.1839  947.5546
 [44,]  954.8023  955.1639  955.5256  955.8872  956.2489  956.6105  956.9722
 [45,]  964.4710  964.8235  965.1761  965.5287  965.8813  966.2339  966.5864
 [46,]  974.3363  974.6798  975.0233  975.3668  975.7103  976.0539  976.3974
 [47,]  984.3984  984.7328  985.0672  985.4017  985.7361  986.0705  986.4050
 [48,]  994.6571  994.9825  995.3078  995.6332  995.9585  996.2839  996.6092
 [49,] 1005.1125 1005.4288 1005.7451 1006.0613 1006.3776 1006.6939 1007.0102
 [50,] 1015.7646 1016.0718 1016.3790 1016.6862 1016.9934 1017.3006 1017.6078
 [51,] 1026.6134 1026.9115 1027.2096 1027.5077 1027.8059 1028.1040 1028.4021
 [52,] 1037.6588 1037.9479 1038.2369 1038.5260 1038.8150 1039.1040 1039.3931
 [53,] 1048.9009 1049.1809 1049.4609 1049.7408 1050.0208 1050.3008 1050.5808
 [54,] 1060.3397 1060.6106 1060.8815 1061.1524 1061.4233 1061.6942 1061.9651
 [55,] 1071.9752 1072.2370 1072.4988 1072.7607 1073.0225 1073.2843 1073.5461
 [56,] 1083.8074 1084.0601 1084.3129 1084.5656 1084.8183 1085.0711 1085.3238
 [57,] 1095.8362 1096.0799 1096.3235 1096.5672 1096.8109 1097.0545 1097.2982
 [58,] 1108.0617 1108.2963 1108.5309 1108.7655 1109.0001 1109.2347 1109.4693
 [59,] 1120.4839 1120.7094 1120.9349 1121.1604 1121.3860 1121.6115 1121.8370
 [60,] 1133.1028 1133.3192 1133.5357 1133.7521 1133.9685 1134.1850 1134.4014
 [61,] 1145.9183 1146.1257 1146.3330 1146.5404 1146.7478 1146.9551 1147.1625
 [62,] 1158.9306 1159.1288 1159.3271 1159.5254 1159.7237 1159.9220 1160.1203
 [63,] 1172.1395 1172.3287 1172.5179 1172.7071 1172.8963 1173.0855 1173.2747
 [64,] 1185.5450 1185.7252 1185.9053 1186.0854 1186.2656 1186.4457 1186.6258
 [65,] 1199.1473 1199.3184 1199.4894 1199.6605 1199.8315 1200.0026 1200.1736
 [66,] 1212.9462 1213.1082 1213.2702 1213.4322 1213.5942 1213.7561 1213.9181
 [67,] 1226.9419 1227.0948 1227.2477 1227.4006 1227.5535 1227.7064 1227.8593
 [68,] 1241.1342 1241.2780 1241.4218 1241.5656 1241.7095 1241.8533 1241.9971
 [69,] 1255.5231 1255.6579 1255.7926 1255.9274 1256.0621 1256.1969 1256.3316
 [70,] 1270.1088 1270.2345 1270.3601 1270.4858 1270.6115 1270.7372 1270.8628
 [71,] 1284.8911 1285.0077 1285.1243 1285.2409 1285.3575 1285.4741 1285.5907
 [72,] 1299.8701 1299.9776 1300.0852 1300.1927 1300.3002 1300.4077 1300.5152
 [73,] 1315.0458 1315.1443 1315.2427 1315.3411 1315.4396 1315.5380 1315.6365
 [74,] 1330.4182 1330.5075 1330.5969 1330.6863 1330.7757 1330.8650 1330.9544
 [75,] 1345.9872 1346.0675 1346.1478 1346.2281 1346.3084 1346.3887 1346.4690
 [76,] 1361.7529 1361.8242 1361.8954 1361.9666 1362.0378 1362.1090 1362.1802
 [77,] 1377.7153 1377.7775 1377.8396 1377.9018 1377.9639 1378.0260 1378.0882
 [78,] 1393.8744 1393.9275 1393.9806 1394.0336 1394.0867 1394.1397 1394.1928
 [79,] 1410.2302 1410.2742 1410.3182 1410.3621 1410.4061 1410.4501 1410.4941
 [80,] 1426.7826 1426.8175 1426.8524 1426.8873 1426.9223 1426.9572 1426.9921
 [81,] 1443.5317 1443.5576 1443.5834 1443.6092 1443.6351 1443.6609 1443.6867
 [82,] 1460.4775 1460.4943 1460.5110 1460.5278 1460.5446 1460.5613 1460.5781
 [83,] 1477.6200 1477.6277 1477.6354 1477.6430 1477.6507 1477.6584 1477.6661
 [84,] 1494.9591 1494.9578 1494.9564 1494.9550 1494.9536 1494.9522 1494.9508
 [85,] 1512.4950 1512.4845 1512.4740 1512.4636 1512.4531 1512.4426 1512.4321
 [86,] 1530.2275 1530.2079 1530.1884 1530.1688 1530.1493 1530.1297 1530.1102
 [87,] 1548.1567 1548.1280 1548.0994 1548.0708 1548.0422 1548.0135 1547.9849
 [88,] 1566.2825 1566.2448 1566.2071 1566.1694 1566.1317 1566.0940 1566.0563
 [89,] 1584.6051 1584.5583 1584.5115 1584.4647 1584.4180 1584.3712 1584.3244
 [90,] 1603.1243 1603.0684 1603.0126 1602.9567 1602.9009 1602.8450 1602.7892
 [91,] 1621.8402 1621.7753 1621.7103 1621.6454 1621.5805 1621.5155 1621.4506
 [92,] 1640.7528 1640.6788 1640.6047 1640.5307 1640.4567 1640.3827 1640.3087
 [93,] 1659.8620 1659.7789 1659.6958 1659.6128 1659.5297 1659.4466 1659.3635
 [94,] 1679.1679 1679.0758 1678.9836 1678.8915 1678.7993 1678.7072 1678.6150
 [95,] 1698.6706 1698.5693 1698.4681 1698.3669 1698.2656 1698.1644 1698.0631
 [96,] 1718.3698 1718.2595 1718.1492 1718.0389 1717.9286 1717.8183 1717.7080
 [97,] 1738.2658 1738.1464 1738.0270 1737.9077 1737.7883 1737.6689 1737.5495
 [98,] 1758.3585 1758.2300 1758.1015 1757.9731 1757.8446 1757.7161 1757.5877
 [99,] 1778.6478 1778.5102 1778.3727 1778.2352 1778.0976 1777.9601 1777.8225
            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
  [1,]  730.3696  731.1216  731.8735  732.6254  733.3774  734.1293  734.8813
  [2,]  731.5176  732.2605  733.0033  733.7462  734.4891  735.2319  735.9748
  [3,]  732.8623  733.5961  734.3299  735.0637  735.7974  736.5312  737.2650
  [4,]  734.4036  735.1284  735.8531  736.5778  737.3025  738.0272  738.7519
  [5,]  736.1417  736.8573  737.5729  738.2886  739.0042  739.7198  740.4355
  [6,]  738.0764  738.7829  739.4895  740.1961  740.9026  741.6092  742.3157
  [7,]  740.2078  740.9052  741.6027  742.3002  742.9977  743.6952  744.3927
  [8,]  742.5358  743.2242  743.9126  744.6010  745.2894  745.9779  746.6663
  [9,]  745.0606  745.7399  746.4192  747.0986  747.7779  748.4572  749.1365
 [10,]  747.7820  748.4522  749.1225  749.7927  750.4630  751.1333  751.8035
 [11,]  750.7001  751.3613  752.0224  752.6836  753.3448  754.0060  754.6671
 [12,]  753.8149  754.4670  755.1191  755.7712  756.4233  757.0754  757.7275
 [13,]  757.1263  757.7693  758.4124  759.0554  759.6984  760.3414  760.9845
 [14,]  760.6345  761.2684  761.9023  762.5363  763.1702  763.8042  764.4381
 [15,]  764.3393  764.9641  765.5890  766.2139  766.8387  767.4636  768.0885
 [16,]  768.2408  768.8565  769.4723  770.0881  770.7039  771.3197  771.9355
 [17,]  772.3389  772.9456  773.5524  774.1591  774.7658  775.3725  775.9792
 [18,]  776.6338  777.2314  777.8291  778.4267  779.0243  779.6220  780.2196
 [19,]  781.1253  781.7139  782.3024  782.8910  783.4796  784.0681  784.6567
 [20,]  785.8135  786.3930  786.9725  787.5520  788.1315  788.7109  789.2904
 [21,]  790.6984  791.2688  791.8392  792.4096  792.9800  793.5504  794.1209
 [22,]  795.7799  796.3413  796.9026  797.4639  798.0253  798.5866  799.1480
 [23,]  801.0582  801.6104  802.1627  802.7150  803.2672  803.8195  804.3717
 [24,]  806.5331  807.0763  807.6195  808.1626  808.7058  809.2490  809.7922
 [25,]  812.2047  812.7388  813.2729  813.8070  814.3411  814.8752  815.4093
 [26,]  818.0730  818.5980  819.1230  819.6481  820.1731  820.6981  821.2232
 [27,]  824.1379  824.6539  825.1698  825.6858  826.2017  826.7177  827.2336
 [28,]  830.3995  830.9064  831.4133  831.9202  832.4271  832.9339  833.4408
 [29,]  836.8578  837.3557  837.8535  838.3513  838.8491  839.3469  839.8447
 [30,]  843.5128  844.0016  844.4903  844.9790  845.4677  845.9565  846.4452
 [31,]  850.3645  850.8441  851.3238  851.8034  852.2831  852.7627  853.2424
 [32,]  857.4128  857.8834  858.3540  858.8246  859.2951  859.7657  860.2363
 [33,]  864.6579  865.1194  865.5809  866.0424  866.5039  866.9654  867.4268
 [34,]  872.0996  872.5520  873.0044  873.4568  873.9092  874.3617  874.8141
 [35,]  879.7379  880.1813  880.6246  881.0680  881.5113  881.9547  882.3980
 [36,]  887.5730  888.0073  888.4415  888.8758  889.3101  889.7443  890.1786
 [37,]  895.6047  896.0299  896.4551  896.8803  897.3055  897.7307  898.1559
 [38,]  903.8331  904.2493  904.6654  905.0815  905.4976  905.9137  906.3298
 [39,]  912.2582  912.6653  913.0723  913.4794  913.8864  914.2934  914.7005
 [40,]  920.8800  921.2780  921.6759  922.0739  922.4719  922.8698  923.2678
 [41,]  929.6985  930.0873  930.4762  930.8651  931.2540  931.6429  932.0318
 [42,]  938.7136  939.0934  939.4732  939.8530  940.2328  940.6126  940.9924
 [43,]  947.9254  948.2961  948.6668  949.0376  949.4083  949.7791  950.1498
 [44,]  957.3339  957.6955  958.0572  958.4188  958.7805  959.1422  959.5038
 [45,]  966.9390  967.2916  967.6442  967.9968  968.3494  968.7019  969.0545
 [46,]  976.7409  977.0844  977.4279  977.7714  978.1149  978.4584  978.8019
 [47,]  986.7394  987.0738  987.4082  987.7427  988.0771  988.4115  988.7460
 [48,]  996.9346  997.2599  997.5853  997.9106  998.2360  998.5613  998.8867
 [49,] 1007.3265 1007.6427 1007.9590 1008.2753 1008.5916 1008.9078 1009.2241
 [50,] 1017.9150 1018.2222 1018.5294 1018.8366 1019.1438 1019.4510 1019.7582
 [51,] 1028.7002 1028.9984 1029.2965 1029.5946 1029.8927 1030.1909 1030.4890
 [52,] 1039.6821 1039.9712 1040.2602 1040.5493 1040.8383 1041.1274 1041.4164
 [53,] 1050.8607 1051.1407 1051.4207 1051.7006 1051.9806 1052.2606 1052.5406
 [54,] 1062.2360 1062.5069 1062.7778 1063.0487 1063.3196 1063.5905 1063.8614
 [55,] 1073.8079 1074.0698 1074.3316 1074.5934 1074.8552 1075.1170 1075.3789
 [56,] 1085.5766 1085.8293 1086.0820 1086.3348 1086.5875 1086.8403 1087.0930
 [57,] 1097.5419 1097.7855 1098.0292 1098.2729 1098.5165 1098.7602 1099.0039
 [58,] 1109.7038 1109.9384 1110.1730 1110.4076 1110.6422 1110.8768 1111.1114
 [59,] 1122.0625 1122.2880 1122.5135 1122.7390 1122.9646 1123.1901 1123.4156
 [60,] 1134.6178 1134.8343 1135.0507 1135.2671 1135.4836 1135.7000 1135.9165
 [61,] 1147.3698 1147.5772 1147.7846 1147.9919 1148.1993 1148.4067 1148.6140
 [62,] 1160.3185 1160.5168 1160.7151 1160.9134 1161.1117 1161.3100 1161.5082
 [63,] 1173.4639 1173.6531 1173.8423 1174.0315 1174.2207 1174.4100 1174.5992
 [64,] 1186.8060 1186.9861 1187.1662 1187.3464 1187.5265 1187.7066 1187.8867
 [65,] 1200.3447 1200.5157 1200.6868 1200.8579 1201.0289 1201.2000 1201.3710
 [66,] 1214.0801 1214.2421 1214.4041 1214.5660 1214.7280 1214.8900 1215.0520
 [67,] 1228.0122 1228.1651 1228.3180 1228.4709 1228.6238 1228.7767 1228.9296
 [68,] 1242.1409 1242.2848 1242.4286 1242.5724 1242.7162 1242.8601 1243.0039
 [69,] 1256.4664 1256.6011 1256.7359 1256.8706 1257.0054 1257.1401 1257.2749
 [70,] 1270.9885 1271.1142 1271.2398 1271.3655 1271.4912 1271.6169 1271.7425
 [71,] 1285.7073 1285.8239 1285.9405 1286.0571 1286.1737 1286.2903 1286.4069
 [72,] 1300.6228 1300.7303 1300.8378 1300.9453 1301.0529 1301.1604 1301.2679
 [73,] 1315.7349 1315.8334 1315.9318 1316.0303 1316.1287 1316.2271 1316.3256
 [74,] 1331.0438 1331.1331 1331.2225 1331.3119 1331.4012 1331.4906 1331.5800
 [75,] 1346.5493 1346.6296 1346.7098 1346.7901 1346.8704 1346.9507 1347.0310
 [76,] 1362.2515 1362.3227 1362.3939 1362.4651 1362.5363 1362.6075 1362.6787
 [77,] 1378.1503 1378.2125 1378.2746 1378.3367 1378.3989 1378.4610 1378.5232
 [78,] 1394.2459 1394.2989 1394.3520 1394.4051 1394.4581 1394.5112 1394.5642
 [79,] 1410.5381 1410.5821 1410.6261 1410.6700 1410.7140 1410.7580 1410.8020
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           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
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           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
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           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
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 [63,] 1178.7617 1178.9509 1179.1401 1179.3294 1179.5186 1179.7078 1179.8970
 [64,] 1191.8496 1192.0298 1192.2099 1192.3900 1192.5702 1192.7503 1192.9304
 [65,] 1205.1342 1205.3053 1205.4763 1205.6474 1205.8185 1205.9895 1206.1606
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           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
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 [61,] 1154.6275 1154.8348 1155.0422 1155.2495 1155.4569 1155.6643 1155.8716
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 [63,] 1180.0862 1180.2754 1180.4646 1180.6538 1180.8430 1181.0322 1181.2214
 [64,] 1193.1106 1193.2907 1193.4708 1193.6510 1193.8311 1194.0112 1194.1914
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 [67,] 1233.3638 1233.5167 1233.6696 1233.8225 1233.9754 1234.1283 1234.2812
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 [70,] 1275.3871 1275.5127 1275.6384 1275.7641 1275.8898 1276.0154 1276.1411
 [71,] 1289.7882 1289.9048 1290.0214 1290.1380 1290.2546 1290.3712 1290.4878
 [72,] 1304.3860 1304.4935 1304.6010 1304.7086 1304.8161 1304.9236 1305.0311
 [73,] 1319.1805 1319.2789 1319.3774 1319.4758 1319.5743 1319.6727 1319.7712
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 [76,] 1364.7440 1364.8152 1364.8864 1364.9576 1365.0289 1365.1001 1365.1713
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           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
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           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
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           [,64]     [,65]     [,66]     [,67]     [,68]     [,69]     [,70]
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           [,71]     [,72]     [,73]     [,74]     [,75]     [,76]     [,77]
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           [,78]     [,79]     [,80]     [,81]     [,82]     [,83]     [,84]
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           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
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 [35,]  916.9789  917.4223  917.8656  918.3090  918.7523  919.1956  919.6390
 [36,]  924.0516  924.4858  924.9201  925.3544  925.7886  926.2229  926.6572
 [37,]  931.3209  931.7461  932.1713  932.5965  933.0217  933.4469  933.8720
 [38,]  938.7869  939.2030  939.6191  940.0352  940.4514  940.8675  941.2836
 [39,]  946.4496  946.8566  947.2637  947.6707  948.0777  948.4848  948.8918
 [40,]  954.3089  954.7069  955.1049  955.5028  955.9008  956.2987  956.6967
 [41,]  962.3650  962.7539  963.1427  963.5316  963.9205  964.3094  964.6983
 [42,]  970.6177  970.9975  971.3773  971.7571  972.1369  972.5167  972.8965
 [43,]  979.0671  979.4378  979.8085  980.1793  980.5500  980.9207  981.2915
 [44,]  987.7131  988.0748  988.4365  988.7981  989.1598  989.5214  989.8831
 [45,]  996.5559  996.9085  997.2611  997.6136  997.9662  998.3188  998.6714
 [46,] 1005.5953 1005.9388 1006.2823 1006.6258 1006.9693 1007.3128 1007.6564
 [47,] 1014.8314 1015.1659 1015.5003 1015.8347 1016.1691 1016.5036 1016.8380
 [48,] 1024.2642 1024.5896 1024.9149 1025.2403 1025.5656 1025.8910 1026.2163
 [49,] 1033.8937 1034.2100 1034.5262 1034.8425 1035.1588 1035.4751 1035.7913
 [50,] 1043.7198 1044.0270 1044.3342 1044.6414 1044.9486 1045.2558 1045.5630
 [51,] 1053.7426 1054.0408 1054.3389 1054.6370 1054.9351 1055.2333 1055.5314
 [52,] 1063.9621 1064.2512 1064.5402 1064.8293 1065.1183 1065.4074 1065.6964
 [53,] 1074.3783 1074.6583 1074.9383 1075.2182 1075.4982 1075.7782 1076.0581
 [54,] 1084.9912 1085.2621 1085.5330 1085.8038 1086.0747 1086.3456 1086.6165
 [55,] 1095.8007 1096.0625 1096.3243 1096.5862 1096.8480 1097.1098 1097.3716
 [56,] 1106.8069 1107.0596 1107.3124 1107.5651 1107.8179 1108.0706 1108.3234
 [57,] 1118.0098 1118.2535 1118.4971 1118.7408 1118.9845 1119.2281 1119.4718
 [58,] 1129.4094 1129.6440 1129.8785 1130.1131 1130.3477 1130.5823 1130.8169
 [59,] 1141.0056 1141.2311 1141.4566 1141.6821 1141.9077 1142.1332 1142.3587
 [60,] 1152.7985 1153.0150 1153.2314 1153.4478 1153.6643 1153.8807 1154.0972
 [61,] 1164.7881 1164.9955 1165.2029 1165.4102 1165.6176 1165.8249 1166.0323
 [62,] 1176.9744 1177.1727 1177.3710 1177.5693 1177.7676 1177.9658 1178.1641
 [63,] 1189.3574 1189.5466 1189.7358 1189.9250 1190.1142 1190.3034 1190.4926
 [64,] 1201.9370 1202.1171 1202.2973 1202.4774 1202.6575 1202.8377 1203.0178
 [65,] 1214.7133 1214.8844 1215.0554 1215.2265 1215.3975 1215.5686 1215.7397
 [66,] 1227.6863 1227.8483 1228.0103 1228.1723 1228.3342 1228.4962 1228.6582
 [67,] 1240.8560 1241.0089 1241.1618 1241.3147 1241.4676 1241.6205 1241.7734
 [68,] 1254.2223 1254.3662 1254.5100 1254.6538 1254.7976 1254.9415 1255.0853
 [69,] 1267.7854 1267.9201 1268.0549 1268.1896 1268.3244 1268.4591 1268.5939
 [70,] 1281.5451 1281.6708 1281.7964 1281.9221 1282.0478 1282.1734 1282.2991
 [71,] 1295.5015 1295.6181 1295.7347 1295.8513 1295.9679 1296.0845 1296.2010
 [72,] 1309.6545 1309.7620 1309.8696 1309.9771 1310.0846 1310.1921 1310.2997
 [73,] 1324.0043 1324.1027 1324.2012 1324.2996 1324.3980 1324.4965 1324.5949
 [74,] 1338.5507 1338.6401 1338.7294 1338.8188 1338.9082 1338.9975 1339.0869
 [75,] 1353.2938 1353.3741 1353.4544 1353.5347 1353.6150 1353.6952 1353.7755
 [76,] 1368.2336 1368.3048 1368.3760 1368.4472 1368.5184 1368.5896 1368.6609
 [77,] 1383.3700 1383.4322 1383.4943 1383.5564 1383.6186 1383.6807 1383.7429
 [78,] 1398.7032 1398.7562 1398.8093 1398.8623 1398.9154 1398.9685 1399.0215
 [79,] 1414.2330 1414.2770 1414.3209 1414.3649 1414.4089 1414.4529 1414.4969
 [80,] 1429.9595 1429.9944 1430.0293 1430.0642 1430.0991 1430.1340 1430.1689
 [81,] 1445.8826 1445.9085 1445.9343 1445.9601 1445.9860 1446.0118 1446.0376
 [82,] 1462.0025 1462.0192 1462.0360 1462.0527 1462.0695 1462.0863 1462.1030
 [83,] 1478.3190 1478.3267 1478.3344 1478.3420 1478.3497 1478.3574 1478.3651
 [84,] 1494.8322 1494.8308 1494.8294 1494.8280 1494.8266 1494.8252 1494.8238
 [85,] 1511.5421 1511.5316 1511.5211 1511.5107 1511.5002 1511.4897 1511.4793
 [86,] 1528.4486 1528.4291 1528.4095 1528.3900 1528.3705 1528.3509 1528.3314
 [87,] 1545.5519 1545.5233 1545.4946 1545.4660 1545.4374 1545.4088 1545.3801
 [88,] 1562.8518 1562.8141 1562.7764 1562.7387 1562.7010 1562.6633 1562.6256
 [89,] 1580.3484 1580.3016 1580.2548 1580.2081 1580.1613 1580.1145 1580.0677
 [90,] 1598.0417 1597.9858 1597.9300 1597.8741 1597.8183 1597.7624 1597.7065
 [91,] 1615.9316 1615.8667 1615.8018 1615.7368 1615.6719 1615.6070 1615.5420
 [92,] 1634.0182 1633.9442 1633.8702 1633.7962 1633.7222 1633.6482 1633.5742
 [93,] 1652.3016 1652.2185 1652.1354 1652.0523 1651.9692 1651.8861 1651.8031
 [94,] 1670.7815 1670.6894 1670.5972 1670.5051 1670.4129 1670.3208 1670.2286
 [95,] 1689.4582 1689.3570 1689.2557 1689.1545 1689.0533 1688.9520 1688.8508
 [96,] 1708.3316 1708.2212 1708.1109 1708.0006 1707.8903 1707.7800 1707.6697
 [97,] 1727.4016 1727.2822 1727.1628 1727.0434 1726.9240 1726.8046 1726.6852
 [98,] 1746.6683 1746.5398 1746.4113 1746.2829 1746.1544 1746.0260 1745.8975
 [99,] 1766.1316 1765.9941 1765.8566 1765.7190 1765.5815 1765.4439 1765.3064
           [,99]
  [1,]  798.7962
  [2,]  799.1182
  [3,]  799.6370
  [4,]  800.3524
  [5,]  801.2644
  [6,]  802.3732
  [7,]  803.6786
  [8,]  805.1808
  [9,]  806.8796
 [10,]  808.7750
 [11,]  810.8672
 [12,]  813.1560
 [13,]  815.6415
 [14,]  818.3237
 [15,]  821.2026
 [16,]  824.2781
 [17,]  827.5503
 [18,]  831.0192
 [19,]  834.6848
 [20,]  838.5471
 [21,]  842.6060
 [22,]  846.8616
 [23,]  851.3139
 [24,]  855.9629
 [25,]  860.8085
 [26,]  865.8509
 [27,]  871.0899
 [28,]  876.5256
 [29,]  882.1579
 [30,]  887.9870
 [31,]  894.0127
 [32,]  900.2351
 [33,]  906.6542
 [34,]  913.2699
 [35,]  920.0823
 [36,]  927.0915
 [37,]  934.2972
 [38,]  941.6997
 [39,]  949.2989
 [40,]  957.0947
 [41,]  965.0872
 [42,]  973.2764
 [43,]  981.6622
 [44,]  990.2448
 [45,]  999.0240
 [46,] 1007.9999
 [47,] 1017.1724
 [48,] 1026.5417
 [49,] 1036.1076
 [50,] 1045.8702
 [51,] 1055.8295
 [52,] 1065.9855
 [53,] 1076.3381
 [54,] 1086.8874
 [55,] 1097.6334
 [56,] 1108.5761
 [57,] 1119.7155
 [58,] 1131.0515
 [59,] 1142.5842
 [60,] 1154.3136
 [61,] 1166.2397
 [62,] 1178.3624
 [63,] 1190.6818
 [64,] 1203.1979
 [65,] 1215.9107
 [66,] 1228.8202
 [67,] 1241.9263
 [68,] 1255.2291
 [69,] 1268.7286
 [70,] 1282.4248
 [71,] 1296.3176
 [72,] 1310.4072
 [73,] 1324.6934
 [74,] 1339.1763
 [75,] 1353.8558
 [76,] 1368.7321
 [77,] 1383.8050
 [78,] 1399.0746
 [79,] 1414.5409
 [80,] 1430.2038
 [81,] 1446.0635
 [82,] 1462.1198
 [83,] 1478.3728
 [84,] 1494.8224
 [85,] 1511.4688
 [86,] 1528.3118
 [87,] 1545.3515
 [88,] 1562.5879
 [89,] 1580.0210
 [90,] 1597.6507
 [91,] 1615.4771
 [92,] 1633.5002
 [93,] 1651.7200
 [94,] 1670.1364
 [95,] 1688.7496
 [96,] 1707.5594
 [97,] 1726.5659
 [98,] 1745.7690
 [99,] 1765.1689

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "soc_5_15cm"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc arain_tot population_density
1      0      2     5       0        0  1019.828           92.07851
  wc2.1_30s_elev sand_0_5cm nitrogen_0_5cm ECN_5_15cm pH_0_5cm
1           1167         56            1.3        0.4     6.04

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_soils_2012_v <- visreg2d(baseline_quad_inter_soils_2012, "N_kgha", "soc_5_15cm",ylab="Soil carbon (g per kg)",xlab="Nitrogen (kg per ha)", main="2012")

baseline_quad_inter_soils_2012_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  5.500000  5.902041  6.304082  6.706122  7.108163  7.510204  7.912245
 [8]  8.314286  8.716327  9.118367  9.520408  9.922449 10.324490 10.726531
[15] 11.128572 11.530612 11.932653 12.334694 12.736735 13.138776 13.540817
[22] 13.942857 14.344898 14.746939 15.148980 15.551021 15.953062 16.355102
[29] 16.757143 17.159184 17.561225 17.963266 18.365307 18.767347 19.169388
[36] 19.571429 19.973470 20.375511 20.777552 21.179592 21.581633 21.983674
[43] 22.385715 22.787756 23.189797 23.591837 23.993878 24.395919 24.797960
[50] 25.200001 25.602042 26.004082 26.406123 26.808164 27.210205 27.612246
[57] 28.014287 28.416327 28.818368 29.220409 29.622450 30.024491 30.426532
[64] 30.828572 31.230613 31.632654 32.034695 32.436736 32.838777 33.240817
[71] 33.642858 34.044899 34.446940 34.848981 35.251022 35.653062 36.055103
[78] 36.457144 36.859185 37.261226 37.663267 38.065307 38.467348 38.869389
[85] 39.271430 39.673471 40.075512 40.477552 40.879593 41.281634 41.683675
[92] 42.085716 42.487757 42.889797 43.291838 43.693879 44.095920 44.497961
[99] 44.900002

$z
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  566.2147  572.5100  578.8052  585.1005  591.3957  597.6910  603.9862
  [2,]  576.8526  583.1186  589.3846  595.6506  601.9166  608.1827  614.4487
  [3,]  587.5476  593.7844  600.0212  606.2580  612.4947  618.7315  624.9683
  [4,]  598.2999  604.5074  610.7149  616.9225  623.1300  629.3375  635.5451
  [5,]  609.1093  615.2876  621.4659  627.6442  633.8225  640.0008  646.1791
  [6,]  619.9759  626.1250  632.2740  638.4231  644.5721  650.7212  656.8702
  [7,]  630.8997  637.0195  643.1393  649.2591  655.3790  661.4988  667.6186
  [8,]  641.8807  647.9713  654.0618  660.1524  666.2430  672.3335  678.4241
  [9,]  652.9189  658.9802  665.0415  671.1028  677.1642  683.2255  689.2868
 [10,]  664.0142  670.0463  676.0784  682.1105  688.1426  694.1747  700.2068
 [11,]  675.1667  681.1696  687.1724  693.1753  699.1781  705.1810  711.1838
 [12,]  686.3765  692.3501  698.3237  704.2973  710.2709  716.2445  722.2181
 [13,]  697.6434  703.5877  709.5321  715.4765  721.4208  727.3652  733.3096
 [14,]  708.9675  714.8826  720.7977  726.7128  732.6280  738.5431  744.4582
 [15,]  720.3487  726.2346  732.1205  738.0064  743.8923  749.7782  755.6641
 [16,]  731.7872  737.6438  743.5005  749.3571  755.2138  761.0704  766.9271
 [17,]  743.2828  749.1103  754.9377  760.7651  766.5925  772.4199  778.2473
 [18,]  754.8357  760.6338  766.4320  772.2302  778.0284  783.8265  789.6247
 [19,]  766.4457  772.2146  777.9836  783.7525  789.5214  795.2903  801.0593
 [20,]  778.1129  783.8526  789.5923  795.3320  801.0717  806.8113  812.5510
 [21,]  789.8373  795.5477  801.2582  806.9686  812.6791  818.3895  824.1000
 [22,]  801.6189  807.3001  812.9813  818.6625  824.3437  830.0249  835.7061
 [23,]  813.4576  819.1096  824.7616  830.4135  836.0655  841.7175  847.3694
 [24,]  825.3536  830.9763  836.5990  842.2218  847.8445  853.4672  859.0899
 [25,]  837.3067  842.9002  848.4937  854.0872  859.6806  865.2741  870.8676
 [26,]  849.3170  854.8813  860.4455  866.0098  871.5740  877.1383  882.7025
 [27,]  861.3845  866.9195  872.4545  877.9895  883.5245  889.0596  894.5946
 [28,]  873.5092  879.0150  884.5207  890.0265  895.5323  901.0380  906.5438
 [29,]  885.6911  891.1676  896.6441  902.1207  907.5972  913.0737  918.5502
 [30,]  897.9301  903.3774  908.8247  914.2720  919.7193  925.1666  930.6139
 [31,]  910.2264  915.6444  921.0625  926.4805  931.8986  937.3166  942.7347
 [32,]  922.5798  927.9686  933.3574  938.7462  944.1350  949.5238  954.9126
 [33,]  934.9904  940.3500  945.7095  951.0691  956.4287  961.7882  967.1478
 [34,]  947.4582  952.7885  958.1189  963.4492  968.7795  974.1098  979.4402
 [35,]  959.9832  965.2843  970.5854  975.8864  981.1875  986.4886  991.7897
 [36,]  972.5654  977.8372  983.1090  988.3809  993.6527  998.9246 1004.1964
 [37,]  985.2047  990.4473  995.6899 1000.9325 1006.1751 1011.4177 1016.6604
 [38,]  997.9012 1003.1146 1008.3280 1013.5413 1018.7547 1023.9681 1029.1815
 [39,] 1010.6550 1015.8391 1021.0232 1026.2074 1031.3915 1036.5756 1041.7597
 [40,] 1023.4659 1028.6208 1033.7757 1038.9305 1044.0854 1049.2403 1054.3952
 [41,] 1036.3340 1041.4596 1046.5853 1051.7109 1056.8366 1061.9622 1067.0879
 [42,] 1049.2593 1054.3557 1059.4521 1064.5485 1069.6449 1074.7413 1079.8377
 [43,] 1062.2417 1067.3089 1072.3761 1077.4432 1082.5104 1087.5776 1092.6447
 [44,] 1075.2814 1080.3193 1085.3572 1090.3952 1095.4331 1100.4710 1105.5089
 [45,] 1088.3782 1093.3869 1098.3956 1103.4043 1108.4130 1113.4216 1118.4303
 [46,] 1101.5322 1106.5117 1111.4911 1116.4706 1121.4500 1126.4295 1131.4089
 [47,] 1114.7434 1119.6936 1124.6439 1129.5941 1134.5443 1139.4945 1144.4447
 [48,] 1128.0118 1132.9328 1137.8538 1142.7747 1147.6957 1152.6167 1157.5376
 [49,] 1141.3374 1146.2291 1151.1209 1156.0126 1160.9043 1165.7960 1170.6878
 [50,] 1154.7202 1159.5827 1164.4451 1169.3076 1174.1701 1179.0326 1183.8951
 [51,] 1168.1601 1172.9934 1177.8266 1182.6599 1187.4931 1192.3264 1197.1596
 [52,] 1181.6573 1186.4613 1191.2653 1196.0693 1200.8733 1205.6773 1210.4813
 [53,] 1195.2116 1199.9863 1204.7611 1209.5359 1214.3106 1219.0854 1223.8602
 [54,] 1208.8231 1213.5686 1218.3141 1223.0597 1227.8052 1232.5507 1237.2962
 [55,] 1222.4918 1227.2081 1231.9243 1236.6406 1241.3569 1246.0732 1250.7895
 [56,] 1236.2176 1240.9047 1245.5917 1250.2788 1254.9658 1259.6529 1264.3399
 [57,] 1250.0007 1254.6585 1259.3163 1263.9741 1268.6319 1273.2897 1277.9475
 [58,] 1263.8409 1268.4695 1273.0981 1277.7266 1282.3552 1286.9838 1291.6123
 [59,] 1277.7384 1282.3377 1286.9370 1291.5364 1296.1357 1300.7350 1305.3343
 [60,] 1291.6930 1296.2631 1300.8332 1305.4033 1309.9733 1314.5434 1319.1135
 [61,] 1305.7048 1310.2456 1314.7865 1319.3273 1323.8682 1328.4090 1332.9499
 [62,] 1319.7738 1324.2854 1328.7970 1333.3086 1337.8202 1342.3318 1346.8434
 [63,] 1333.9000 1338.3823 1342.8647 1347.3471 1351.8294 1356.3118 1360.7942
 [64,] 1348.0833 1352.5364 1356.9896 1361.4427 1365.8958 1370.3489 1374.8021
 [65,] 1362.3239 1366.7477 1371.1716 1375.5955 1380.0194 1384.4433 1388.8672
 [66,] 1376.6216 1381.0162 1385.4109 1389.8055 1394.2002 1398.5948 1402.9895
 [67,] 1390.9765 1395.3419 1399.7073 1404.0727 1408.4381 1412.8035 1417.1689
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            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
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 [22,]  841.3873  847.0685  852.7498  858.4310  864.1122  869.7934  875.4746
 [23,]  853.0214  858.6734  864.3253  869.9773  875.6293  881.2813  886.9332
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 [25,]  876.4611  882.0546  887.6481  893.2416  898.8351  904.4286  910.0221
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 [33,]  972.5074  977.8670  983.2265  988.5861  993.9457  999.3052 1004.6648
 [34,]  984.7705  990.1008  995.4312 1000.7615 1006.0918 1011.4221 1016.7525
 [35,]  997.0908 1002.3919 1007.6930 1012.9941 1018.2952 1023.5962 1028.8973
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 [40,] 1059.5501 1064.7050 1069.8599 1075.0148 1080.1696 1085.3245 1090.4794
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 [43,] 1097.7119 1102.7791 1107.8462 1112.9134 1117.9806 1123.0477 1128.1149
 [44,] 1110.5469 1115.5848 1120.6227 1125.6606 1130.6986 1135.7365 1140.7744
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 [46,] 1136.3884 1141.3678 1146.3473 1151.3267 1156.3062 1161.2856 1166.2650
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 [49,] 1175.5795 1180.4712 1185.3630 1190.2547 1195.1464 1200.0381 1204.9299
 [50,] 1188.7576 1193.6201 1198.4826 1203.3450 1208.2075 1213.0700 1217.9325
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 [61,] 1337.4907 1342.0316 1346.5724 1351.1133 1355.6541 1360.1949 1364.7358
 [62,] 1351.3550 1355.8666 1360.3782 1364.8898 1369.4014 1373.9131 1378.4247
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 [64,] 1379.2552 1383.7083 1388.1614 1392.6146 1397.0677 1401.5208 1405.9739
 [65,] 1393.2911 1397.7149 1402.1388 1406.5627 1410.9866 1415.4105 1419.8344
 [66,] 1407.3841 1411.7787 1416.1734 1420.5680 1424.9627 1429.3573 1433.7520
 [67,] 1421.5343 1425.8997 1430.2651 1434.6306 1438.9960 1443.3614 1447.7268
 [68,] 1435.7418 1440.0779 1444.4141 1448.7502 1453.0864 1457.4226 1461.7587
 [69,] 1450.0064 1454.3133 1458.6202 1462.9271 1467.2341 1471.5410 1475.8479
 [70,] 1464.3281 1468.6058 1472.8835 1477.1612 1481.4389 1485.7166 1489.9943
 [71,] 1478.7071 1482.9556 1487.2040 1491.4525 1495.7009 1499.9493 1504.1978
 [72,] 1493.1433 1497.3625 1501.5817 1505.8009 1510.0201 1514.2393 1518.4585
 [73,] 1507.6366 1511.8266 1516.0166 1520.2065 1524.3965 1528.5864 1532.7764
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 [75,] 1536.7949 1540.9264 1545.0578 1549.1893 1553.3208 1557.4523 1561.5838
 [76,] 1551.4598 1555.5620 1559.6643 1563.7665 1567.8687 1571.9710 1576.0732
 [77,] 1566.1819 1570.2549 1574.3279 1578.4009 1582.4739 1586.5469 1590.6199
 [78,] 1580.9611 1585.0049 1589.0487 1593.0924 1597.1362 1601.1799 1605.2237
 [79,] 1595.7976 1599.8121 1603.8266 1607.8412 1611.8557 1615.8702 1619.8847
 [80,] 1610.6912 1614.6765 1618.6618 1622.6471 1626.6324 1630.6176 1634.6029
 [81,] 1625.6421 1629.5981 1633.5541 1637.5102 1641.4662 1645.4223 1649.3783
 [82,] 1640.6501 1644.5769 1648.5037 1652.4305 1656.3573 1660.2841 1664.2109
 [83,] 1655.7153 1659.6128 1663.5104 1667.4080 1671.3055 1675.2031 1679.1006
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 [89,] 1747.3074 1751.0295 1754.7516 1758.4737 1762.1958 1765.9180 1769.6401
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 [91,] 1778.2955 1781.9592 1785.6228 1789.2865 1792.9501 1796.6137 1800.2774
 [92,] 1793.8754 1797.5098 1801.1442 1804.7786 1808.4130 1812.0474 1815.6818
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 [95,] 1840.9581 1844.5048 1848.0515 1851.5982 1855.1448 1858.6915 1862.2382
 [96,] 1856.7667 1860.2842 1863.8016 1867.3190 1870.8365 1874.3539 1877.8714
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 [98,] 1888.5555 1892.0144 1895.4734 1898.9324 1902.3913 1905.8503 1909.3093
 [99,] 1904.5357 1907.9654 1911.3951 1914.8248 1918.2545 1921.6843 1925.1140
           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
  [1,]  654.3483  660.6435  666.9388  673.2340  679.5293  685.8245  692.1198
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 [17,]  824.8666  830.6940  836.5214  842.3488  848.1762  854.0037  859.8311
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 [29,]  962.3625  967.8390  973.3155  978.7921  984.2686  989.7451  995.2217
 [30,]  974.1922  979.6395  985.0868  990.5340  995.9813 1001.4286 1006.8759
 [31,]  986.0791  991.4971  996.9152 1002.3332 1007.7513 1013.1693 1018.5873
 [32,]  998.0231 1003.4119 1008.8007 1014.1895 1019.5784 1024.9672 1030.3560
 [33,] 1010.0244 1015.3839 1020.7435 1026.1031 1031.4626 1036.8222 1042.1818
 [34,] 1022.0828 1027.4131 1032.7435 1038.0738 1043.4041 1048.7345 1054.0648
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 [36,] 1046.3712 1051.6431 1056.9149 1062.1868 1067.4586 1072.7305 1078.0023
 [37,] 1058.6012 1063.8438 1069.0864 1074.3291 1079.5717 1084.8143 1090.0569
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 [39,] 1083.2328 1088.4169 1093.6010 1098.7852 1103.9693 1109.1534 1114.3375
 [40,] 1095.6343 1100.7892 1105.9441 1111.0990 1116.2539 1121.4088 1126.5636
 [41,] 1108.0930 1113.2187 1118.3443 1123.4700 1128.5956 1133.7213 1138.8469
 [42,] 1120.6090 1125.7054 1130.8018 1135.8982 1140.9946 1146.0910 1151.1874
 [43,] 1133.1821 1138.2492 1143.3164 1148.3836 1153.4507 1158.5179 1163.5851
 [44,] 1145.8124 1150.8503 1155.8882 1160.9261 1165.9641 1171.0020 1176.0399
 [45,] 1158.4998 1163.5085 1168.5172 1173.5259 1178.5346 1183.5433 1188.5520
 [46,] 1171.2445 1176.2239 1181.2034 1186.1828 1191.1623 1196.1417 1201.1212
 [47,] 1184.0463 1188.9965 1193.9468 1198.8970 1203.8472 1208.7974 1213.7476
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 [49,] 1209.8216 1214.7133 1219.6050 1224.4968 1229.3885 1234.2802 1239.1719
 [50,] 1222.7950 1227.6575 1232.5200 1237.3824 1242.2449 1247.1074 1251.9699
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 [52,] 1248.9133 1253.7174 1258.5214 1263.3254 1268.1294 1272.9334 1277.7374
 [53,] 1262.0583 1266.8331 1271.6078 1276.3826 1281.1574 1285.9321 1290.7069
 [54,] 1275.2604 1280.0060 1284.7515 1289.4970 1294.2426 1298.9881 1303.7336
 [55,] 1288.5198 1293.2361 1297.9523 1302.6686 1307.3849 1312.1012 1316.8175
 [56,] 1301.8363 1306.5233 1311.2104 1315.8974 1320.5845 1325.2715 1329.9586
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 [58,] 1328.6409 1333.2694 1337.8980 1342.5266 1347.1551 1351.7837 1356.4123
 [59,] 1342.1289 1346.7283 1351.3276 1355.9269 1360.5262 1365.1256 1369.7249
 [60,] 1355.6742 1360.2443 1364.8144 1369.3845 1373.9545 1378.5246 1383.0947
 [61,] 1369.2766 1373.8175 1378.3583 1382.8992 1387.4400 1391.9809 1396.5217
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 [63,] 1396.6531 1401.1354 1405.6178 1410.1002 1414.5825 1419.0649 1423.5473
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           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
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           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
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 [59,] 1406.5195 1411.1188 1415.7182 1420.3175 1424.9168 1429.5161 1434.1155
 [60,] 1419.6554 1424.2255 1428.7956 1433.3657 1437.9357 1442.5058 1447.0759
 [61,] 1432.8485 1437.3893 1441.9302 1446.4710 1451.0119 1455.5527 1460.0935
 [62,] 1446.0987 1450.6103 1455.1219 1459.6336 1464.1452 1468.6568 1473.1684
 [63,] 1459.4062 1463.8886 1468.3709 1472.8533 1477.3356 1481.8180 1486.3004
 [64,] 1472.7708 1477.2239 1481.6771 1486.1302 1490.5833 1495.0364 1499.4896
 [65,] 1486.1926 1490.6165 1495.0404 1499.4643 1503.8882 1508.3121 1512.7360
 [66,] 1499.6716 1504.0663 1508.4609 1512.8556 1517.2502 1521.6449 1526.0395
 [67,] 1513.2078 1517.5732 1521.9386 1526.3041 1530.6695 1535.0349 1539.4003
 [68,] 1526.8012 1531.1374 1535.4735 1539.8097 1544.1459 1548.4820 1552.8182
 [69,] 1540.4518 1544.7587 1549.0656 1553.3725 1557.6795 1561.9864 1566.2933
 [70,] 1554.1595 1558.4372 1562.7149 1566.9926 1571.2703 1575.5479 1579.8256
 [71,] 1567.9245 1572.1729 1576.4213 1580.6698 1584.9182 1589.1667 1593.4151
 [72,] 1581.7466 1585.9658 1590.1850 1594.4042 1598.6234 1602.8426 1607.0618
 [73,] 1595.6259 1599.8158 1604.0058 1608.1958 1612.3857 1616.5757 1620.7657
 [74,] 1609.5624 1613.7231 1617.8838 1622.0445 1626.2053 1630.3660 1634.5267
 [75,] 1623.5560 1627.6875 1631.8190 1635.9505 1640.0820 1644.2135 1648.3449
 [76,] 1637.6069 1641.7091 1645.8114 1649.9136 1654.0159 1658.1181 1662.2204
 [77,] 1651.7149 1655.7879 1659.8609 1663.9339 1668.0069 1672.0800 1676.1530
 [78,] 1665.8802 1669.9239 1673.9677 1678.0115 1682.0552 1686.0990 1690.1427
 [79,] 1680.1026 1684.1171 1688.1316 1692.1461 1696.1607 1700.1752 1704.1897
 [80,] 1694.3822 1698.3675 1702.3527 1706.3380 1710.3233 1714.3086 1718.2939
 [81,] 1708.7190 1712.6750 1716.6310 1720.5871 1724.5431 1728.4992 1732.4552
 [82,] 1723.1129 1727.0397 1730.9665 1734.8933 1738.8201 1742.7469 1746.6738
 [83,] 1737.5641 1741.4617 1745.3592 1749.2568 1753.1543 1757.0519 1760.9495
 [84,] 1752.0724 1755.9408 1759.8091 1763.6774 1767.5457 1771.4140 1775.2824
 [85,] 1766.6380 1770.4770 1774.3161 1778.1552 1781.9943 1785.8334 1789.6725
 [86,] 1781.2607 1785.0705 1788.8804 1792.6902 1796.5000 1800.3099 1804.1197
 [87,] 1795.9406 1799.7212 1803.5018 1807.2824 1811.0630 1814.8436 1818.6242
 [88,] 1810.6776 1814.4290 1818.1804 1821.9317 1825.6831 1829.4345 1833.1858
 [89,] 1825.4719 1829.1940 1832.9162 1836.6383 1840.3604 1844.0825 1847.8046
 [90,] 1840.3234 1844.0162 1847.7091 1851.4020 1855.0949 1858.7878 1862.4807
 [91,] 1855.2320 1858.8956 1862.5593 1866.2229 1869.8866 1873.5502 1877.2139
 [92,] 1870.1978 1873.8322 1877.4666 1881.1010 1884.7354 1888.3698 1892.0042
 [93,] 1885.2208 1888.8260 1892.4312 1896.0363 1899.6415 1903.2466 1906.8518
 [94,] 1900.3010 1903.8770 1907.4529 1911.0288 1914.6047 1918.1806 1921.7566
 [95,] 1915.4384 1918.9851 1922.5318 1926.0785 1929.6251 1933.1718 1936.7185
 [96,] 1930.6330 1934.1504 1937.6679 1941.1853 1944.7027 1948.2202 1951.7376
 [97,] 1945.8847 1949.3729 1952.8611 1956.3493 1959.8375 1963.3257 1966.8139
 [98,] 1961.1937 1964.6526 1968.1116 1971.5705 1975.0295 1978.4885 1981.9474
 [99,] 1976.5598 1979.9895 1983.4192 1986.8489 1990.2787 1993.7084 1997.1381
           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
  [1,]  786.5486  792.8438  799.1391  805.4343  811.7296  818.0249  824.3201
  [2,]  796.1630  802.4291  808.6951  814.9611  821.2271  827.4931  833.7591
  [3,]  805.8347  812.0715  818.3082  824.5450  830.7818  837.0186  843.2553
  [4,]  815.5635  821.7711  827.9786  834.1861  840.3937  846.6012  852.8087
  [5,]  825.3495  831.5278  837.7061  843.8844  850.0627  856.2410  862.4193
  [6,]  835.1928  841.3418  847.4909  853.6399  859.7890  865.9380  872.0871
  [7,]  845.0931  851.2130  857.3328  863.4526  869.5724  875.6922  881.8120
  [8,]  855.0507  861.1413  867.2319  873.3224  879.4130  885.5036  891.5942
  [9,]  865.0655  871.1268  877.1881  883.2495  889.3108  895.3721  901.4335
 [10,]  875.1374  881.1695  887.2016  893.2337  899.2658  905.2979  911.3300
 [11,]  885.2666  891.2694  897.2723  903.2751  909.2780  915.2808  921.2837
 [12,]  895.4529  901.4265  907.4001  913.3737  919.3473  925.3209  931.2945
 [13,]  905.6964  911.6407  917.5851  923.5295  929.4739  935.4182  941.3626
 [14,]  915.9971  921.9122  927.8273  933.7425  939.6576  945.5727  951.4878
 [15,]  926.3549  932.2408  938.1267  944.0126  949.8985  955.7844  961.6703
 [16,]  936.7700  942.6266  948.4833  954.3399  960.1966  966.0532  971.9099
 [17,]  947.2422  953.0696  958.8971  964.7245  970.5519  976.3793  982.2067
 [18,]  957.7717  963.5698  969.3680  975.1662  980.9643  986.7625  992.5607
 [19,]  968.3583  974.1272  979.8961  985.6651  991.4340  997.2029 1002.9719
 [20,]  979.0021  984.7418  990.4815  996.2211 1001.9608 1007.7005 1013.4402
 [21,]  989.7031  995.4135 1001.1240 1006.8344 1012.5449 1018.2553 1023.9658
 [22,] 1000.4612 1006.1424 1011.8236 1017.5049 1023.1861 1028.8673 1034.5485
 [23,] 1011.2766 1016.9286 1022.5805 1028.2325 1033.8845 1039.5364 1045.1884
 [24,] 1022.1491 1027.7719 1033.3946 1039.0173 1044.6400 1050.2628 1055.8855
 [25,] 1033.0788 1038.6723 1044.2658 1049.8593 1055.4528 1061.0463 1066.6398
 [26,] 1044.0658 1049.6300 1055.1943 1060.7585 1066.3228 1071.8870 1077.4513
 [27,] 1055.1099 1060.6449 1066.1799 1071.7149 1077.2499 1082.7849 1088.3199
 [28,] 1066.2111 1071.7169 1077.2227 1082.7284 1088.2342 1093.7400 1099.2458
 [29,] 1077.3696 1082.8461 1088.3227 1093.7992 1099.2757 1104.7522 1110.2288
 [30,] 1088.5853 1094.0325 1099.4798 1104.9271 1110.3744 1115.8217 1121.2690
 [31,] 1099.8581 1105.2761 1110.6942 1116.1122 1121.5303 1126.9483 1132.3664
 [32,] 1111.1881 1116.5769 1121.9657 1127.3545 1132.7434 1138.1322 1143.5210
 [33,] 1122.5753 1127.9349 1133.2945 1138.6540 1144.0136 1149.3732 1154.7327
 [34,] 1134.0197 1139.3500 1144.6804 1150.0107 1155.3410 1160.6714 1166.0017
 [35,] 1145.5213 1150.8224 1156.1235 1161.4246 1166.7256 1172.0267 1177.3278
 [36,] 1157.0801 1162.3519 1167.6238 1172.8956 1178.1675 1183.4393 1188.7112
 [37,] 1168.6960 1173.9386 1179.1812 1184.4238 1189.6664 1194.9091 1200.1517
 [38,] 1180.3691 1185.5825 1190.7959 1196.0092 1201.2226 1206.4360 1211.6494
 [39,] 1192.0995 1197.2836 1202.4677 1207.6518 1212.8360 1218.0201 1223.2042
 [40,] 1203.8870 1209.0419 1214.1967 1219.3516 1224.5065 1229.6614 1234.8163
 [41,] 1215.7317 1220.8573 1225.9830 1231.1086 1236.2343 1241.3599 1246.4855
 [42,] 1227.6335 1232.7299 1237.8264 1242.9228 1248.0192 1253.1156 1258.2120
 [43,] 1239.5926 1244.6598 1249.7269 1254.7941 1259.8613 1264.9284 1269.9956
 [44,] 1251.6088 1256.6468 1261.6847 1266.7226 1271.7606 1276.7985 1281.8364
 [45,] 1263.6823 1268.6910 1273.6997 1278.7083 1283.7170 1288.7257 1293.7344
 [46,] 1275.8129 1280.7923 1285.7718 1290.7512 1295.7307 1300.7101 1305.6896
 [47,] 1288.0007 1292.9509 1297.9011 1302.8513 1307.8015 1312.7517 1317.7019
 [48,] 1300.2457 1305.1667 1310.0876 1315.0086 1319.9296 1324.8505 1329.7715
 [49,] 1312.5479 1317.4396 1322.3313 1327.2230 1332.1148 1337.0065 1341.8982
 [50,] 1324.9072 1329.7697 1334.6322 1339.4947 1344.3572 1349.2197 1354.0821
 [51,] 1337.3238 1342.1570 1346.9903 1351.8235 1356.6567 1361.4900 1366.3232
 [52,] 1349.7975 1354.6015 1359.4055 1364.2095 1369.0135 1373.8175 1378.6215
 [53,] 1362.3284 1367.1032 1371.8779 1376.6527 1381.4275 1386.2022 1390.9770
 [54,] 1374.9165 1379.6620 1384.4076 1389.1531 1393.8986 1398.6441 1403.3897
 [55,] 1387.5618 1392.2781 1396.9944 1401.7106 1406.4269 1411.1432 1415.8595
 [56,] 1400.2643 1404.9513 1409.6384 1414.3254 1419.0124 1423.6995 1428.3865
 [57,] 1413.0239 1417.6817 1422.3395 1426.9973 1431.6551 1436.3129 1440.9708
 [58,] 1425.8408 1430.4693 1435.0979 1439.7265 1444.3550 1448.9836 1453.6122
 [59,] 1438.7148 1443.3141 1447.9134 1452.5128 1457.1121 1461.7114 1466.3107
 [60,] 1451.6460 1456.2161 1460.7862 1465.3563 1469.9263 1474.4964 1479.0665
 [61,] 1464.6344 1469.1752 1473.7161 1478.2569 1482.7978 1487.3386 1491.8795
 [62,] 1477.6800 1482.1916 1486.7032 1491.2148 1495.7264 1500.2380 1504.7496
 [63,] 1490.7827 1495.2651 1499.7475 1504.2298 1508.7122 1513.1946 1517.6769
 [64,] 1503.9427 1508.3958 1512.8489 1517.3021 1521.7552 1526.2083 1530.6614
 [65,] 1517.1598 1521.5837 1526.0076 1530.4315 1534.8554 1539.2793 1543.7031
 [66,] 1530.4342 1534.8288 1539.2235 1543.6181 1548.0127 1552.4074 1556.8020
 [67,] 1543.7657 1548.1311 1552.4965 1556.8619 1561.2273 1565.5927 1569.9581
 [68,] 1557.1544 1561.4905 1565.8267 1570.1629 1574.4990 1578.8352 1583.1714
 [69,] 1570.6002 1574.9072 1579.2141 1583.5210 1587.8279 1592.1349 1596.4418
 [70,] 1584.1033 1588.3810 1592.6587 1596.9364 1601.2140 1605.4917 1609.7694
 [71,] 1597.6636 1601.9120 1606.1605 1610.4089 1614.6573 1618.9058 1623.1542
 [72,] 1611.2810 1615.5002 1619.7194 1623.9386 1628.1578 1632.3770 1636.5962
 [73,] 1624.9556 1629.1456 1633.3355 1637.5255 1641.7155 1645.9054 1650.0954
 [74,] 1638.6874 1642.8482 1647.0089 1651.1696 1655.3303 1659.4910 1663.6518
 [75,] 1652.4764 1656.6079 1660.7394 1664.8709 1669.0024 1673.1338 1677.2653
 [76,] 1666.3226 1670.4248 1674.5271 1678.6293 1682.7316 1686.8338 1690.9361
 [77,] 1680.2260 1684.2990 1688.3720 1692.4450 1696.5180 1700.5910 1704.6640
 [78,] 1694.1865 1698.2303 1702.2740 1706.3178 1710.3616 1714.4053 1718.4491
 [79,] 1708.2042 1712.2188 1716.2333 1720.2478 1724.2623 1728.2769 1732.2914
 [80,] 1722.2792 1726.2644 1730.2497 1734.2350 1738.2203 1742.2056 1746.1909
 [81,] 1736.4113 1740.3673 1744.3233 1748.2794 1752.2354 1756.1915 1760.1475
 [82,] 1750.6006 1754.5274 1758.4542 1762.3810 1766.3078 1770.2346 1774.1614
 [83,] 1764.8470 1768.7446 1772.6422 1776.5397 1780.4373 1784.3348 1788.2324
 [84,] 1779.1507 1783.0190 1786.8873 1790.7557 1794.6240 1798.4923 1802.3606
 [85,] 1793.5115 1797.3506 1801.1897 1805.0288 1808.8679 1812.7069 1816.5460
 [86,] 1807.9296 1811.7394 1815.5492 1819.3591 1823.1689 1826.9788 1830.7886
 [87,] 1822.4048 1826.1854 1829.9660 1833.7466 1837.5272 1841.3078 1845.0884
 [88,] 1836.9372 1840.6885 1844.4399 1848.1913 1851.9426 1855.6940 1859.4454
 [89,] 1851.5268 1855.2489 1858.9710 1862.6931 1866.4153 1870.1374 1873.8595
 [90,] 1866.1735 1869.8664 1873.5593 1877.2522 1880.9451 1884.6380 1888.3308
 [91,] 1880.8775 1884.5411 1888.2048 1891.8684 1895.5321 1899.1957 1902.8593
 [92,] 1895.6386 1899.2730 1902.9074 1906.5418 1910.1762 1913.8106 1917.4451
 [93,] 1910.4570 1914.0621 1917.6673 1921.2725 1924.8776 1928.4828 1932.0879
 [94,] 1925.3325 1928.9084 1932.4843 1936.0602 1939.6362 1943.2121 1946.7880
 [95,] 1940.2652 1943.8119 1947.3585 1950.9052 1954.4519 1957.9986 1961.5453
 [96,] 1955.2551 1958.7725 1962.2899 1965.8074 1969.3248 1972.8423 1976.3597
 [97,] 1970.3021 1973.7903 1977.2785 1980.7667 1984.2549 1987.7431 1991.2313
 [98,] 1985.4064 1988.8654 1992.3243 1995.7833 1999.2422 2002.7012 2006.1602
 [99,] 2000.5678 2003.9976 2007.4273 2010.8570 2014.2867 2017.7164 2021.1462
           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
  [1,]  830.6154  836.9106  843.2059  849.5011  855.7964  862.0916  868.3869
  [2,]  840.0251  846.2912  852.5572  858.8232  865.0892  871.3552  877.6212
  [3,]  849.4921  855.7289  861.9657  868.2024  874.4392  880.6760  886.9127
  [4,]  859.0163  865.2238  871.4313  877.6389  883.8464  890.0539  896.2615
  [5,]  868.5976  874.7759  880.9542  887.1325  893.3108  899.4891  905.6674
  [6,]  878.2361  884.3852  890.5342  896.6833  902.8323  908.9814  915.1304
  [7,]  887.9318  894.0516  900.1715  906.2913  912.4111  918.5309  924.6507
  [8,]  897.6847  903.7753  909.8659  915.9564  922.0470  928.1376  934.2282
  [9,]  907.4948  913.5561  919.6175  925.6788  931.7401  937.8015  943.8628
 [10,]  917.3621  923.3942  929.4263  935.4583  941.4904  947.5225  953.5546
 [11,]  927.2865  933.2894  939.2922  945.2951  951.2979  957.3008  963.3036
 [12,]  937.2682  943.2418  949.2154  955.1890  961.1626  967.1362  973.1098
 [13,]  947.3070  953.2513  959.1957  965.1401  971.0845  977.0288  982.9732
 [14,]  957.4030  963.3181  969.2332  975.1484  981.0635  986.9786  992.8938
 [15,]  967.5562  973.4421  979.3280  985.2138  991.0997  996.9856 1002.8715
 [16,]  977.7665  983.6232  989.4799  995.3365 1001.1932 1007.0498 1012.9065
 [17,]  988.0341  993.8615  999.6889 1005.5163 1011.3438 1017.1712 1022.9986
 [18,]  998.3589 1004.1570 1009.9552 1015.7534 1021.5515 1027.3497 1033.1479
 [19,] 1008.7408 1014.5097 1020.2787 1026.0476 1031.8165 1037.5854 1043.3544
 [20,] 1019.1799 1024.9196 1030.6593 1036.3990 1042.1387 1047.8784 1053.6181
 [21,] 1029.6762 1035.3867 1041.0971 1046.8076 1052.5180 1058.2285 1063.9389
 [22,] 1040.2297 1045.9109 1051.5921 1057.2733 1062.9545 1068.6358 1074.3170
 [23,] 1050.8404 1056.4923 1062.1443 1067.7963 1073.4483 1079.1002 1084.7522
 [24,] 1061.5082 1067.1310 1072.7537 1078.3764 1083.9992 1089.6219 1095.2446
 [25,] 1072.2333 1077.8268 1083.4203 1089.0137 1094.6072 1100.2007 1105.7942
 [26,] 1083.0155 1088.5798 1094.1440 1099.7083 1105.2725 1110.8368 1116.4010
 [27,] 1093.8549 1099.3899 1104.9249 1110.4600 1115.9950 1121.5300 1127.0650
 [28,] 1104.7515 1110.2573 1115.7631 1121.2688 1126.7746 1132.2804 1137.7861
 [29,] 1115.7053 1121.1818 1126.6584 1132.1349 1137.6114 1143.0880 1148.5645
 [30,] 1126.7163 1132.1636 1137.6109 1143.0581 1148.5054 1153.9527 1159.4000
 [31,] 1137.7844 1143.2025 1148.6205 1154.0386 1159.4566 1164.8747 1170.2927
 [32,] 1148.9098 1154.2986 1159.6874 1165.0762 1170.4650 1175.8538 1181.2426
 [33,] 1160.0923 1165.4519 1170.8114 1176.1710 1181.5306 1186.8902 1192.2497
 [34,] 1171.3320 1176.6623 1181.9927 1187.3230 1192.6533 1197.9837 1203.3140
 [35,] 1182.6289 1187.9300 1193.2311 1198.5322 1203.8333 1209.1344 1214.4354
 [36,] 1193.9830 1199.2548 1204.5267 1209.7985 1215.0704 1220.3422 1225.6141
 [37,] 1205.3943 1210.6369 1215.8795 1221.1221 1226.3647 1231.6073 1236.8499
 [38,] 1216.8627 1222.0761 1227.2895 1232.5028 1237.7162 1242.9296 1248.1429
 [39,] 1228.3884 1233.5725 1238.7566 1243.9407 1249.1249 1254.3090 1259.4931
 [40,] 1239.9712 1245.1261 1250.2810 1255.4359 1260.5907 1265.7456 1270.9005
 [41,] 1251.6112 1256.7368 1261.8625 1266.9881 1272.1138 1277.2394 1282.3651
 [42,] 1263.3084 1268.4048 1273.5012 1278.5976 1283.6940 1288.7904 1293.8868
 [43,] 1275.0628 1280.1299 1285.1971 1290.2643 1295.3314 1300.3986 1305.4658
 [44,] 1286.8743 1291.9123 1296.9502 1301.9881 1307.0260 1312.0640 1317.1019
 [45,] 1298.7431 1303.7518 1308.7605 1313.7692 1318.7778 1323.7865 1328.7952
 [46,] 1310.6690 1315.6485 1320.6279 1325.6074 1330.5868 1335.5663 1340.5457
 [47,] 1322.6521 1327.6024 1332.5526 1337.5028 1342.4530 1347.4032 1352.3534
 [48,] 1334.6925 1339.6134 1344.5344 1349.4554 1354.3763 1359.2973 1364.2183
 [49,] 1346.7899 1351.6817 1356.5734 1361.4651 1366.3569 1371.2486 1376.1403
 [50,] 1358.9446 1363.8071 1368.6696 1373.5321 1378.3946 1383.2571 1388.1195
 [51,] 1371.1565 1375.9897 1380.8230 1385.6562 1390.4895 1395.3227 1400.1560
 [52,] 1383.4255 1388.2295 1393.0335 1397.8376 1402.6416 1407.4456 1412.2496
 [53,] 1395.7518 1400.5265 1405.3013 1410.0761 1414.8508 1419.6256 1424.4004
 [54,] 1408.1352 1412.8807 1417.6262 1422.3718 1427.1173 1431.8628 1436.6083
 [55,] 1420.5758 1425.2921 1430.0084 1434.7247 1439.4409 1444.1572 1448.8735
 [56,] 1433.0736 1437.7606 1442.4477 1447.1347 1451.8218 1456.5088 1461.1959
 [57,] 1445.6286 1450.2864 1454.9442 1459.6020 1464.2598 1468.9176 1473.5754
 [58,] 1458.2407 1462.8693 1467.4979 1472.1264 1476.7550 1481.3835 1486.0121
 [59,] 1470.9101 1475.5094 1480.1087 1484.7080 1489.3074 1493.9067 1498.5060
 [60,] 1483.6366 1488.2067 1492.7768 1497.3469 1501.9169 1506.4870 1511.0571
 [61,] 1496.4203 1500.9612 1505.5020 1510.0428 1514.5837 1519.1245 1523.6654
 [62,] 1509.2612 1513.7728 1518.2844 1522.7960 1527.3076 1531.8192 1536.3308
 [63,] 1522.1593 1526.6417 1531.1240 1535.6064 1540.0888 1544.5711 1549.0535
 [64,] 1535.1146 1539.5677 1544.0208 1548.4740 1552.9271 1557.3802 1561.8333
 [65,] 1548.1270 1552.5509 1556.9748 1561.3987 1565.8226 1570.2465 1574.6703
 [66,] 1561.1967 1565.5913 1569.9860 1574.3806 1578.7753 1583.1699 1587.5645
 [67,] 1574.3235 1578.6889 1583.0543 1587.4197 1591.7851 1596.1505 1600.5159
 [68,] 1587.5075 1591.8437 1596.1798 1600.5160 1604.8522 1609.1883 1613.5245
 [69,] 1600.7487 1605.0556 1609.3626 1613.6695 1617.9764 1622.2833 1626.5903
 [70,] 1614.0471 1618.3248 1622.6025 1626.8802 1631.1578 1635.4355 1639.7132
 [71,] 1627.4027 1631.6511 1635.8996 1640.1480 1644.3964 1648.6449 1652.8933
 [72,] 1640.8154 1645.0346 1649.2538 1653.4730 1657.6922 1661.9114 1666.1307
 [73,] 1654.2854 1658.4753 1662.6653 1666.8553 1671.0452 1675.2352 1679.4252
 [74,] 1667.8125 1671.9732 1676.1339 1680.2947 1684.4554 1688.6161 1692.7768
 [75,] 1681.3968 1685.5283 1689.6598 1693.7913 1697.9227 1702.0542 1706.1857
 [76,] 1695.0383 1699.1405 1703.2428 1707.3450 1711.4473 1715.5495 1719.6518
 [77,] 1708.7370 1712.8100 1716.8830 1720.9560 1725.0290 1729.1020 1733.1750
 [78,] 1722.4929 1726.5366 1730.5804 1734.6241 1738.6679 1742.7117 1746.7554
 [79,] 1736.3059 1740.3204 1744.3350 1748.3495 1752.3640 1756.3785 1760.3930
 [80,] 1750.1761 1754.1614 1758.1467 1762.1320 1766.1173 1770.1026 1774.0878
 [81,] 1764.1036 1768.0596 1772.0157 1775.9717 1779.9277 1783.8838 1787.8398
 [82,] 1778.0882 1782.0150 1785.9418 1789.8686 1793.7954 1797.7222 1801.6490
 [83,] 1792.1300 1796.0275 1799.9251 1803.8227 1807.7202 1811.6178 1815.5153
 [84,] 1806.2289 1810.0973 1813.9656 1817.8339 1821.7022 1825.5706 1829.4389
 [85,] 1820.3851 1824.2242 1828.0633 1831.9024 1835.7414 1839.5805 1843.4196
 [86,] 1834.5985 1838.4083 1842.2181 1846.0280 1849.8378 1853.6477 1857.4575
 [87,] 1848.8690 1852.6496 1856.4302 1860.2108 1863.9914 1867.7720 1871.5526
 [88,] 1863.1967 1866.9481 1870.6994 1874.4508 1878.2022 1881.9535 1885.7049
 [89,] 1877.5816 1881.3037 1885.0259 1888.7480 1892.4701 1896.1922 1899.9144
 [90,] 1892.0237 1895.7166 1899.4095 1903.1024 1906.7952 1910.4881 1914.1810
 [91,] 1906.5230 1910.1866 1913.8503 1917.5139 1921.1776 1924.8412 1928.5048
 [92,] 1921.0795 1924.7139 1928.3483 1931.9827 1935.6171 1939.2515 1942.8859
 [93,] 1935.6931 1939.2983 1942.9034 1946.5086 1950.1137 1953.7189 1957.3241
 [94,] 1950.3639 1953.9399 1957.5158 1961.0917 1964.6676 1968.2435 1971.8195
 [95,] 1965.0920 1968.6386 1972.1853 1975.7320 1979.2787 1982.8254 1986.3720
 [96,] 1979.8772 1983.3946 1986.9120 1990.4295 1993.9469 1997.4644 2000.9818
 [97,] 1994.7195 1998.2077 2001.6959 2005.1841 2008.6723 2012.1605 2015.6487
 [98,] 2009.6191 2013.0781 2016.5370 2019.9960 2023.4550 2026.9139 2030.3729
 [99,] 2024.5759 2028.0056 2031.4353 2034.8650 2038.2948 2041.7245 2045.1542
           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
  [1,]  874.6821  880.9774  887.2726  893.5679  899.8631  906.1584  912.4537
  [2,]  883.8872  890.1532  896.4193  902.6853  908.9513  915.2173  921.4833
  [3,]  893.1495  899.3863  905.6231  911.8598  918.0966  924.3334  930.5702
  [4,]  902.4690  908.6765  914.8841  921.0916  927.2991  933.5067  939.7142
  [5,]  911.8456  918.0239  924.2022  930.3805  936.5588  942.7371  948.9154
  [6,]  921.2795  927.4285  933.5776  939.7266  945.8757  952.0248  958.1738
  [7,]  930.7705  936.8903  943.0101  949.1300  955.2498  961.3696  967.4894
  [8,]  940.3187  946.4093  952.4999  958.5904  964.6810  970.7716  976.8622
  [9,]  949.9241  955.9855  962.0468  968.1081  974.1695  980.2308  986.2921
 [10,]  959.5867  965.6188  971.6509  977.6830  983.7151  989.7472  995.7793
 [11,]  969.3065  975.3093  981.3122  987.3150  993.3179  999.3207 1005.3236
 [12,]  979.0834  985.0570  991.0307  997.0043 1002.9779 1008.9515 1014.9251
 [13,]  988.9176  994.8619 1000.8063 1006.7507 1012.6951 1018.6394 1024.5838
 [14,]  998.8089 1004.7240 1010.6392 1016.5543 1022.4694 1028.3846 1034.2997
 [15,] 1008.7574 1014.6433 1020.5292 1026.4151 1032.3010 1038.1869 1044.0728
 [16,] 1018.7631 1024.6198 1030.4764 1036.3331 1042.1897 1048.0464 1053.9030
 [17,] 1028.8260 1034.6534 1040.4808 1046.3082 1052.1356 1057.9630 1063.7905
 [18,] 1038.9461 1044.7442 1050.5424 1056.3406 1062.1387 1067.9369 1073.7351
 [19,] 1049.1233 1054.8922 1060.6612 1066.4301 1072.1990 1077.9680 1083.7369
 [20,] 1059.3577 1065.0974 1070.8371 1076.5768 1082.3165 1088.0562 1093.7959
 [21,] 1069.6494 1075.3598 1081.0703 1086.7807 1092.4912 1098.2016 1103.9121
 [22,] 1079.9982 1085.6794 1091.3606 1097.0418 1102.7230 1108.4042 1114.0854
 [23,] 1090.4042 1096.0561 1101.7081 1107.3601 1113.0120 1118.6640 1124.3160
 [24,] 1100.8673 1106.4901 1112.1128 1117.7355 1123.3583 1128.9810 1134.6037
 [25,] 1111.3877 1116.9812 1122.5747 1128.1682 1133.7617 1139.3552 1144.9486
 [26,] 1121.9653 1127.5295 1133.0938 1138.6580 1144.2223 1149.7865 1155.3508
 [27,] 1132.6000 1138.1350 1143.6700 1149.2050 1154.7400 1160.2750 1165.8101
 [28,] 1143.2919 1148.7977 1154.3035 1159.8092 1165.3150 1170.8208 1176.3265
 [29,] 1154.0410 1159.5175 1164.9941 1170.4706 1175.9471 1181.4237 1186.9002
 [30,] 1164.8473 1170.2946 1175.7419 1181.1892 1186.6365 1192.0838 1197.5310
 [31,] 1175.7108 1181.1288 1186.5469 1191.9649 1197.3830 1202.8010 1208.2191
 [32,] 1186.6314 1192.0203 1197.4091 1202.7979 1208.1867 1213.5755 1218.9643
 [33,] 1197.6093 1202.9689 1208.3284 1213.6880 1219.0476 1224.4071 1229.7667
 [34,] 1208.6443 1213.9747 1219.3050 1224.6353 1229.9656 1235.2960 1240.6263
 [35,] 1219.7365 1225.0376 1230.3387 1235.6398 1240.9409 1246.2420 1251.5431
 [36,] 1230.8859 1236.1578 1241.4296 1246.7015 1251.9733 1257.2452 1262.5170
 [37,] 1242.0925 1247.3351 1252.5777 1257.8204 1263.0630 1268.3056 1273.5482
 [38,] 1253.3563 1258.5697 1263.7830 1268.9964 1274.2098 1279.4231 1284.6365
 [39,] 1264.6773 1269.8614 1275.0455 1280.2296 1285.4138 1290.5979 1295.7820
 [40,] 1276.0554 1281.2103 1286.3652 1291.5201 1296.6750 1301.8298 1306.9847
 [41,] 1287.4907 1292.6164 1297.7420 1302.8677 1307.9933 1313.1190 1318.2446
 [42,] 1298.9832 1304.0797 1309.1761 1314.2725 1319.3689 1324.4653 1329.5617
 [43,] 1310.5329 1315.6001 1320.6673 1325.7344 1330.8016 1335.8688 1340.9360
 [44,] 1322.1398 1327.1778 1332.2157 1337.2536 1342.2915 1347.3295 1352.3674
 [45,] 1333.8039 1338.8126 1343.8213 1348.8300 1353.8387 1358.8473 1363.8560
 [46,] 1345.5252 1350.5046 1355.4841 1360.4635 1365.4429 1370.4224 1375.4018
 [47,] 1357.3036 1362.2538 1367.2040 1372.1542 1377.1044 1382.0546 1387.0048
 [48,] 1369.1392 1374.0602 1378.9812 1383.9021 1388.8231 1393.7441 1398.6650
 [49,] 1381.0320 1385.9238 1390.8155 1395.7072 1400.5989 1405.4907 1410.3824
 [50,] 1392.9820 1397.8445 1402.7070 1407.5695 1412.4320 1417.2945 1422.1570
 [51,] 1404.9892 1409.8225 1414.6557 1419.4890 1424.3222 1429.1554 1433.9887
 [52,] 1417.0536 1421.8576 1426.6616 1431.4656 1436.2696 1441.0736 1445.8776
 [53,] 1429.1751 1433.9499 1438.7247 1443.4994 1448.2742 1453.0490 1457.8237
 [54,] 1441.3539 1446.0994 1450.8449 1455.5905 1460.3360 1465.0815 1469.8270
 [55,] 1453.5898 1458.3061 1463.0224 1467.7387 1472.4549 1477.1712 1481.8875
 [56,] 1465.8829 1470.5700 1475.2570 1479.9440 1484.6311 1489.3181 1494.0052
 [57,] 1478.2332 1482.8910 1487.5488 1492.2066 1496.8644 1501.5222 1506.1800
 [58,] 1490.6407 1495.2692 1499.8978 1504.5264 1509.1549 1513.7835 1518.4121
 [59,] 1503.1053 1507.7047 1512.3040 1516.9033 1521.5026 1526.1020 1530.7013
 [60,] 1515.6272 1520.1973 1524.7674 1529.3375 1533.9075 1538.4776 1543.0477
 [61,] 1528.2062 1532.7471 1537.2879 1541.8288 1546.3696 1550.9105 1555.4513
 [62,] 1540.8425 1545.3541 1549.8657 1554.3773 1558.8889 1563.4005 1567.9121
 [63,] 1553.5359 1558.0182 1562.5006 1566.9830 1571.4653 1575.9477 1580.4301
 [64,] 1566.2865 1570.7396 1575.1927 1579.6458 1584.0990 1588.5521 1593.0052
 [65,] 1579.0942 1583.5181 1587.9420 1592.3659 1596.7898 1601.2137 1605.6375
 [66,] 1591.9592 1596.3538 1600.7485 1605.1431 1609.5378 1613.9324 1618.3271
 [67,] 1604.8813 1609.2467 1613.6121 1617.9776 1622.3430 1626.7084 1631.0738
 [68,] 1617.8607 1622.1968 1626.5330 1630.8692 1635.2053 1639.5415 1643.8777
 [69,] 1630.8972 1635.2041 1639.5110 1643.8180 1648.1249 1652.4318 1656.7387
 [70,] 1643.9909 1648.2686 1652.5463 1656.8239 1661.1016 1665.3793 1669.6570
 [71,] 1657.1418 1661.3902 1665.6387 1669.8871 1674.1356 1678.3840 1682.6324
 [72,] 1670.3499 1674.5691 1678.7883 1683.0075 1687.2267 1691.4459 1695.6651
 [73,] 1683.6151 1687.8051 1691.9950 1696.1850 1700.3750 1704.5649 1708.7549
 [74,] 1696.9376 1701.0983 1705.2590 1709.4197 1713.5805 1717.7412 1721.9019
 [75,] 1710.3172 1714.4487 1718.5802 1722.7116 1726.8431 1730.9746 1735.1061
 [76,] 1723.7540 1727.8563 1731.9585 1736.0607 1740.1630 1744.2652 1748.3675
 [77,] 1737.2480 1741.3210 1745.3940 1749.4670 1753.5400 1757.6130 1761.6860
 [78,] 1750.7992 1754.8430 1758.8867 1762.9305 1766.9742 1771.0180 1775.0618
 [79,] 1764.4076 1768.4221 1772.4366 1776.4511 1780.4657 1784.4802 1788.4947
 [80,] 1778.0731 1782.0584 1786.0437 1790.0290 1794.0143 1797.9995 1801.9848
 [81,] 1791.7959 1795.7519 1799.7080 1803.6640 1807.6200 1811.5761 1815.5321
 [82,] 1805.5758 1809.5026 1813.4294 1817.3562 1821.2830 1825.2098 1829.1366
 [83,] 1819.4129 1823.3105 1827.2080 1831.1056 1835.0032 1838.9007 1842.7983
 [84,] 1833.3072 1837.1755 1841.0439 1844.9122 1848.7805 1852.6488 1856.5171
 [85,] 1847.2587 1851.0978 1854.9369 1858.7759 1862.6150 1866.4541 1870.2932
 [86,] 1861.2674 1865.0772 1868.8870 1872.6969 1876.5067 1880.3166 1884.1264
 [87,] 1875.3332 1879.1138 1882.8944 1886.6750 1890.4556 1894.2362 1898.0168
 [88,] 1889.4563 1893.2076 1896.9590 1900.7103 1904.4617 1908.2131 1911.9644
 [89,] 1903.6365 1907.3586 1911.0807 1914.8028 1918.5250 1922.2471 1925.9692
 [90,] 1917.8739 1921.5668 1925.2597 1928.9525 1932.6454 1936.3383 1940.0312
 [91,] 1932.1685 1935.8321 1939.4958 1943.1594 1946.8230 1950.4867 1954.1503
 [92,] 1946.5203 1950.1547 1953.7891 1957.4235 1961.0579 1964.6923 1968.3267
 [93,] 1960.9292 1964.5344 1968.1396 1971.7447 1975.3499 1978.9550 1982.5602
 [94,] 1975.3954 1978.9713 1982.5472 1986.1231 1989.6991 1993.2750 1996.8509
 [95,] 1989.9187 1993.4654 1997.0121 2000.5588 2004.1054 2007.6521 2011.1988
 [96,] 2004.4992 2008.0167 2011.5341 2015.0516 2018.5690 2022.0864 2025.6039
 [97,] 2019.1369 2022.6251 2026.1134 2029.6016 2033.0898 2036.5780 2040.0662
 [98,] 2033.8318 2037.2908 2040.7498 2044.2087 2047.6677 2051.1266 2054.5856
 [99,] 2048.5839 2052.0136 2055.4434 2058.8731 2062.3028 2065.7325 2069.1622
           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
  [1,]  918.7489  925.0442  931.3394  937.6347  943.9299  950.2252  956.5204
  [2,]  927.7493  934.0153  940.2814  946.5474  952.8134  959.0794  965.3454
  [3,]  936.8069  943.0437  949.2805  955.5172  961.7540  967.9908  974.2276
  [4,]  945.9217  952.1293  958.3368  964.5443  970.7519  976.9594  983.1669
  [5,]  955.0937  961.2720  967.4503  973.6286  979.8069  985.9852  992.1635
  [6,]  964.3229  970.4719  976.6210  982.7700  988.9191  995.0681 1001.2172
  [7,]  973.6092  979.7290  985.8488  991.9686  998.0885 1004.2083 1010.3281
  [8,]  982.9527  989.0433  995.1339 1001.2245 1007.3150 1013.4056 1019.4962
  [9,]  992.3535  998.4148 1004.4761 1010.5375 1016.5988 1022.6601 1028.7214
 [10,] 1001.8114 1007.8435 1013.8755 1019.9076 1025.9397 1031.9718 1038.0039
 [11,] 1011.3264 1017.3293 1023.3322 1029.3350 1035.3379 1041.3407 1047.3436
 [12,] 1020.8987 1026.8723 1032.8459 1038.8196 1044.7932 1050.7668 1056.7404
 [13,] 1030.5282 1036.4726 1042.4169 1048.3613 1054.3057 1060.2500 1066.1944
 [14,] 1040.2148 1046.1300 1052.0451 1057.9602 1063.8753 1069.7905 1075.7056
 [15,] 1049.9587 1055.8445 1061.7304 1067.6163 1073.5022 1079.3881 1085.2740
 [16,] 1059.7597 1065.6163 1071.4730 1077.3296 1083.1863 1089.0429 1094.8996
 [17,] 1069.6179 1075.4453 1081.2727 1087.1001 1092.9275 1098.7549 1104.5823
 [18,] 1079.5333 1085.3314 1091.1296 1096.9278 1102.7259 1108.5241 1114.3223
 [19,] 1089.5058 1095.2748 1101.0437 1106.8126 1112.5815 1118.3505 1124.1194
 [20,] 1099.5356 1105.2753 1111.0150 1116.7547 1122.4943 1128.2340 1133.9737
 [21,] 1109.6225 1115.3330 1121.0434 1126.7539 1132.4643 1138.1748 1143.8852
 [22,] 1119.7666 1125.4479 1131.1291 1136.8103 1142.4915 1148.1727 1153.8539
 [23,] 1129.9680 1135.6199 1141.2719 1146.9239 1152.5758 1158.2278 1163.8798
 [24,] 1140.2265 1145.8492 1151.4719 1157.0946 1162.7174 1168.3401 1173.9628
 [25,] 1150.5421 1156.1356 1161.7291 1167.3226 1172.9161 1178.5096 1184.1031
 [26,] 1160.9150 1166.4793 1172.0435 1177.6078 1183.1720 1188.7363 1194.3005
 [27,] 1171.3451 1176.8801 1182.4151 1187.9501 1193.4851 1199.0201 1204.5551
 [28,] 1181.8323 1187.3381 1192.8438 1198.3496 1203.8554 1209.3611 1214.8669
 [29,] 1192.3767 1197.8533 1203.3298 1208.8063 1214.2828 1219.7594 1225.2359
 [30,] 1202.9783 1208.4256 1213.8729 1219.3202 1224.7675 1230.2148 1235.6621
 [31,] 1213.6371 1219.0552 1224.4732 1229.8913 1235.3093 1240.7274 1246.1454
 [32,] 1224.3531 1229.7419 1235.1307 1240.5195 1245.9083 1251.2972 1256.6860
 [33,] 1235.1263 1240.4858 1245.8454 1251.2050 1256.5646 1261.9241 1267.2837
 [34,] 1245.9566 1251.2870 1256.6173 1261.9476 1267.2779 1272.6083 1277.9386
 [35,] 1256.8442 1262.1452 1267.4463 1272.7474 1278.0485 1283.3496 1288.6507
 [36,] 1267.7889 1273.0607 1278.3326 1283.6044 1288.8763 1294.1481 1299.4200
 [37,] 1278.7908 1284.0334 1289.2760 1294.5186 1299.7612 1305.0038 1310.2464
 [38,] 1289.8499 1295.0632 1300.2766 1305.4900 1310.7034 1315.9167 1321.1301
 [39,] 1300.9662 1306.1503 1311.3344 1316.5185 1321.7027 1326.8868 1332.0709
 [40,] 1312.1396 1317.2945 1322.4494 1327.6043 1332.7592 1337.9141 1343.0690
 [41,] 1323.3703 1328.4959 1333.6216 1338.7472 1343.8729 1348.9985 1354.1242
 [42,] 1334.6581 1339.7545 1344.8509 1349.9473 1355.0437 1360.1401 1365.2366
 [43,] 1346.0031 1351.0703 1356.1375 1361.2046 1366.2718 1371.3390 1376.4061
 [44,] 1357.4053 1362.4433 1367.4812 1372.5191 1377.5570 1382.5950 1387.6329
 [45,] 1368.8647 1373.8734 1378.8821 1383.8908 1388.8995 1393.9082 1398.9168
 [46,] 1380.3813 1385.3607 1390.3402 1395.3196 1400.2991 1405.2785 1410.2580
 [47,] 1391.9550 1396.9053 1401.8555 1406.8057 1411.7559 1416.7061 1421.6563
 [48,] 1403.5860 1408.5070 1413.4279 1418.3489 1423.2699 1428.1908 1433.1118
 [49,] 1415.2741 1420.1659 1425.0576 1429.9493 1434.8410 1439.7328 1444.6245
 [50,] 1427.0194 1431.8819 1436.7444 1441.6069 1446.4694 1451.3319 1456.1944
 [51,] 1438.8219 1443.6552 1448.4884 1453.3217 1458.1549 1462.9882 1467.8214
 [52,] 1450.6816 1455.4856 1460.2896 1465.0937 1469.8977 1474.7017 1479.5057
 [53,] 1462.5985 1467.3733 1472.1480 1476.9228 1481.6976 1486.4723 1491.2471
 [54,] 1474.5726 1479.3181 1484.0636 1488.8091 1493.5547 1498.3002 1503.0457
 [55,] 1486.6038 1491.3201 1496.0364 1500.7527 1505.4689 1510.1852 1514.9015
 [56,] 1498.6922 1503.3793 1508.0663 1512.7534 1517.4404 1522.1275 1526.8145
 [57,] 1510.8378 1515.4957 1520.1535 1524.8113 1529.4691 1534.1269 1538.7847
 [58,] 1523.0406 1527.6692 1532.2978 1536.9263 1541.5549 1546.1835 1550.8120
 [59,] 1535.3006 1539.9000 1544.4993 1549.0986 1553.6979 1558.2973 1562.8966
 [60,] 1547.6178 1552.1879 1556.7580 1561.3281 1565.8981 1570.4682 1575.0383
 [61,] 1559.9922 1564.5330 1569.0738 1573.6147 1578.1555 1582.6964 1587.2372
 [62,] 1572.4237 1576.9353 1581.4469 1585.9585 1590.4701 1594.9817 1599.4933
 [63,] 1584.9124 1589.3948 1593.8771 1598.3595 1602.8419 1607.3242 1611.8066
 [64,] 1597.4583 1601.9115 1606.3646 1610.8177 1615.2708 1619.7240 1624.1771
 [65,] 1610.0614 1614.4853 1618.9092 1623.3331 1627.7570 1632.1808 1636.6047
 [66,] 1622.7217 1627.1164 1631.5110 1635.9056 1640.3003 1644.6949 1649.0896
 [67,] 1635.4392 1639.8046 1644.1700 1648.5354 1652.9008 1657.2662 1661.6316
 [68,] 1648.2138 1652.5500 1656.8862 1661.2223 1665.5585 1669.8946 1674.2308
 [69,] 1661.0457 1665.3526 1669.6595 1673.9664 1678.2734 1682.5803 1686.8872
 [70,] 1673.9347 1678.2124 1682.4901 1686.7677 1691.0454 1695.3231 1699.6008
 [71,] 1686.8809 1691.1293 1695.3778 1699.6262 1703.8747 1708.1231 1712.3716
 [72,] 1699.8843 1704.1035 1708.3227 1712.5419 1716.7611 1720.9803 1725.1995
 [73,] 1712.9449 1717.1348 1721.3248 1725.5148 1729.7047 1733.8947 1738.0846
 [74,] 1726.0626 1730.2234 1734.3841 1738.5448 1742.7055 1746.8662 1751.0270
 [75,] 1739.2376 1743.3691 1747.5005 1751.6320 1755.7635 1759.8950 1764.0265
 [76,] 1752.4697 1756.5720 1760.6742 1764.7764 1768.8787 1772.9809 1777.0832
 [77,] 1765.7590 1769.8320 1773.9050 1777.9780 1782.0510 1786.1241 1790.1971
 [78,] 1779.1055 1783.1493 1787.1931 1791.2368 1795.2806 1799.3244 1803.3681
 [79,] 1792.5092 1796.5238 1800.5383 1804.5528 1808.5673 1812.5818 1816.5964
 [80,] 1805.9701 1809.9554 1813.9407 1817.9260 1821.9112 1825.8965 1829.8818
 [81,] 1819.4882 1823.4442 1827.4003 1831.3563 1835.3123 1839.2684 1843.2244
 [82,] 1833.0634 1836.9902 1840.9170 1844.8438 1848.7706 1852.6974 1856.6242
 [83,] 1846.6958 1850.5934 1854.4910 1858.3885 1862.2861 1866.1837 1870.0812
 [84,] 1860.3855 1864.2538 1868.1221 1871.9904 1875.8588 1879.7271 1883.5954
 [85,] 1874.1323 1877.9713 1881.8104 1885.6495 1889.4886 1893.3277 1897.1668
 [86,] 1887.9363 1891.7461 1895.5559 1899.3658 1903.1756 1906.9855 1910.7953
 [87,] 1901.7974 1905.5780 1909.3586 1913.1392 1916.9198 1920.7004 1924.4810
 [88,] 1915.7158 1919.4671 1923.2185 1926.9699 1930.7212 1934.4726 1938.2240
 [89,] 1929.6913 1933.4135 1937.1356 1940.8577 1944.5798 1948.3019 1952.0241
 [90,] 1943.7241 1947.4169 1951.1098 1954.8027 1958.4956 1962.1885 1965.8814
 [91,] 1957.8140 1961.4776 1965.1413 1968.8049 1972.4685 1976.1322 1979.7958
 [92,] 1971.9611 1975.5955 1979.2299 1982.8643 1986.4987 1990.1331 1993.7675
 [93,] 1986.1654 1989.7705 1993.3757 1996.9808 2000.5860 2004.1912 2007.7963
 [94,] 2000.4268 2004.0028 2007.5787 2011.1546 2014.7305 2018.3064 2021.8824
 [95,] 2014.7455 2018.2922 2021.8388 2025.3855 2028.9322 2032.4789 2036.0256
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           [,64]     [,65]     [,66]     [,67]     [,68]     [,69]    [,70]
  [1,]  962.8157  969.1109  975.4062  981.7014  987.9967  994.2919 1000.587
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  [7,] 1016.4479 1022.5677 1028.6875 1034.8073 1040.9271 1047.0470 1053.167
  [8,] 1025.5867 1031.6773 1037.7679 1043.8585 1049.9490 1056.0396 1062.130
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 [10,] 1044.0360 1050.0681 1056.1002 1062.1323 1068.1644 1074.1965 1080.229
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 [13,] 1072.1388 1078.0832 1084.0275 1089.9719 1095.9163 1101.8606 1107.805
 [14,] 1081.6207 1087.5359 1093.4510 1099.3661 1105.2813 1111.1964 1117.112
 [15,] 1091.1599 1097.0458 1102.9317 1108.8176 1114.7035 1120.5893 1126.475
 [16,] 1100.7562 1106.6129 1112.4695 1118.3262 1124.1828 1130.0395 1135.896
 [17,] 1110.4097 1116.2372 1122.0646 1127.8920 1133.7194 1139.5468 1145.374
 [18,] 1120.1204 1125.9186 1131.7168 1137.5150 1143.3131 1149.1113 1154.909
 [19,] 1129.8883 1135.6573 1141.4262 1147.1951 1152.9641 1158.7330 1164.502
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 [23,] 1169.5318 1175.1837 1180.8357 1186.4877 1192.1396 1197.7916 1203.444
 [24,] 1179.5856 1185.2083 1190.8310 1196.4538 1202.0765 1207.6992 1213.322
 [25,] 1189.6966 1195.2901 1200.8836 1206.4770 1212.0705 1217.6640 1223.258
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 [30,] 1241.1094 1246.5566 1252.0039 1257.4512 1262.8985 1268.3458 1273.793
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 [36,] 1304.6918 1309.9637 1315.2355 1320.5074 1325.7792 1331.0511 1336.323
 [37,] 1315.4890 1320.7317 1325.9743 1331.2169 1336.4595 1341.7021 1346.945
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 [39,] 1337.2551 1342.4392 1347.6233 1352.8074 1357.9916 1363.1757 1368.360
 [40,] 1348.2238 1353.3787 1358.5336 1363.6885 1368.8434 1373.9983 1379.153
 [41,] 1359.2498 1364.3755 1369.5011 1374.6268 1379.7524 1384.8780 1390.004
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 [43,] 1381.4733 1386.5405 1391.6076 1396.6748 1401.7420 1406.8091 1411.876
 [44,] 1392.6708 1397.7087 1402.7467 1407.7846 1412.8225 1417.8605 1422.898
 [45,] 1403.9255 1408.9342 1413.9429 1418.9516 1423.9603 1428.9690 1433.978
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 [49,] 1449.5162 1454.4079 1459.2997 1464.1914 1469.0831 1473.9749 1478.867
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 [52,] 1484.3097 1489.1137 1493.9177 1498.7217 1503.5257 1508.3297 1513.134
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 [63,] 1616.2890 1620.7713 1625.2537 1629.7361 1634.2184 1638.7008 1643.183
 [64,] 1628.6302 1633.0833 1637.5365 1641.9896 1646.4427 1650.8958 1655.349
 [65,] 1641.0286 1645.4525 1649.8764 1654.3003 1658.7242 1663.1480 1667.572
 [66,] 1653.4842 1657.8789 1662.2735 1666.6682 1671.0628 1675.4574 1679.852
 [67,] 1665.9970 1670.3624 1674.7278 1679.0932 1683.4586 1687.8240 1692.189
 [68,] 1678.5670 1682.9031 1687.2393 1691.5755 1695.9116 1700.2478 1704.584
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 [71,] 1716.6200 1720.8684 1725.1169 1729.3653 1733.6138 1737.8622 1742.111
 [72,] 1729.4187 1733.6379 1737.8571 1742.0763 1746.2955 1750.5147 1754.734
 [73,] 1742.2746 1746.4646 1750.6545 1754.8445 1759.0345 1763.2244 1767.414
 [74,] 1755.1877 1759.3484 1763.5091 1767.6699 1771.8306 1775.9913 1780.152
 [75,] 1768.1580 1772.2894 1776.4209 1780.5524 1784.6839 1788.8154 1792.947
 [76,] 1781.1854 1785.2877 1789.3899 1793.4921 1797.5944 1801.6966 1805.799
 [77,] 1794.2701 1798.3431 1802.4161 1806.4891 1810.5621 1814.6351 1818.708
 [78,] 1807.4119 1811.4556 1815.4994 1819.5432 1823.5869 1827.6307 1831.674
 [79,] 1820.6109 1824.6254 1828.6399 1832.6545 1836.6690 1840.6835 1844.698
 [80,] 1833.8671 1837.8524 1841.8377 1845.8229 1849.8082 1853.7935 1857.779
 [81,] 1847.1805 1851.1365 1855.0926 1859.0486 1863.0046 1866.9607 1870.917
 [82,] 1860.5510 1864.4778 1868.4046 1872.3314 1876.2582 1880.1850 1884.112
 [83,] 1873.9788 1877.8763 1881.7739 1885.6715 1889.5690 1893.4666 1897.364
 [84,] 1887.4637 1891.3320 1895.2004 1899.0687 1902.9370 1906.8053 1910.674
 [85,] 1901.0058 1904.8449 1908.6840 1912.5231 1916.3622 1920.2013 1924.040
 [86,] 1914.6052 1918.4150 1922.2248 1926.0347 1929.8445 1933.6544 1937.464
 [87,] 1928.2616 1932.0422 1935.8228 1939.6035 1943.3841 1947.1647 1950.945
 [88,] 1941.9753 1945.7267 1949.4780 1953.2294 1956.9808 1960.7321 1964.483
 [89,] 1955.7462 1959.4683 1963.1904 1966.9126 1970.6347 1974.3568 1978.079
 [90,] 1969.5742 1973.2671 1976.9600 1980.6529 1984.3458 1988.0386 1991.732
 [91,] 1983.4595 1987.1231 1990.7868 1994.4504 1998.1140 2001.7777 2005.441
 [92,] 1997.4019 2001.0363 2004.6707 2008.3051 2011.9395 2015.5739 2019.208
 [93,] 2011.4015 2015.0067 2018.6118 2022.2170 2025.8221 2029.4273 2033.032
 [94,] 2025.4583 2029.0342 2032.6101 2036.1860 2039.7620 2043.3379 2046.914
 [95,] 2039.5723 2043.1189 2046.6656 2050.2123 2053.7590 2057.3057 2060.852
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 [97,] 2067.9718 2071.4600 2074.9482 2078.4364 2081.9246 2085.4128 2088.901
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          [,71]    [,72]    [,73]    [,74]    [,75]    [,76]    [,77]    [,78]
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  [8,] 1068.221 1074.311 1080.402 1086.492 1092.583 1098.674 1104.764 1110.855
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 [28,] 1258.913 1264.419 1269.925 1275.430 1280.936 1286.442 1291.948 1297.453
 [29,] 1269.048 1274.525 1280.001 1285.478 1290.954 1296.431 1301.907 1307.384
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 [31,] 1289.490 1294.908 1300.326 1305.744 1311.162 1316.580 1321.998 1327.416
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 [33,] 1310.160 1315.520 1320.879 1326.239 1331.599 1336.958 1342.318 1347.677
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 [35,] 1331.059 1336.360 1341.662 1346.963 1352.264 1357.565 1362.866 1368.167
 [36,] 1341.595 1346.867 1352.138 1357.410 1362.682 1367.954 1373.226 1378.498
 [37,] 1352.187 1357.430 1362.673 1367.915 1373.158 1378.400 1383.643 1388.886
 [38,] 1362.837 1368.050 1373.264 1378.477 1383.691 1388.904 1394.117 1399.331
 [39,] 1373.544 1378.728 1383.912 1389.096 1394.280 1399.465 1404.649 1409.833
 [40,] 1384.308 1389.463 1394.618 1399.773 1404.928 1410.082 1415.237 1420.392
 [41,] 1395.129 1400.255 1405.381 1410.506 1415.632 1420.758 1425.883 1431.009
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 [44,] 1427.936 1432.974 1438.012 1443.050 1448.088 1453.126 1458.164 1463.202
 [45,] 1438.986 1443.995 1449.004 1454.012 1459.021 1464.030 1469.038 1474.047
 [46,] 1450.094 1455.073 1460.052 1465.032 1470.011 1474.991 1479.970 1484.950
 [47,] 1461.258 1466.208 1471.158 1476.109 1481.059 1486.009 1490.959 1495.909
 [48,] 1472.480 1477.401 1482.321 1487.242 1492.163 1497.084 1502.005 1506.926
 [49,] 1483.758 1488.650 1493.542 1498.433 1503.325 1508.217 1513.109 1518.000
 [50,] 1495.094 1499.957 1504.819 1509.682 1514.544 1519.407 1524.269 1529.132
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 [53,] 1529.445 1534.220 1538.995 1543.770 1548.544 1553.319 1558.094 1562.869
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 [57,] 1576.047 1580.705 1585.363 1590.021 1594.678 1599.336 1603.994 1608.652
 [58,] 1587.841 1592.469 1597.098 1601.726 1606.355 1610.983 1615.612 1620.241
 [59,] 1599.691 1604.291 1608.890 1613.489 1618.088 1622.688 1627.287 1631.886
 [60,] 1611.599 1616.169 1620.739 1625.309 1629.879 1634.449 1639.020 1643.590
 [61,] 1623.564 1628.105 1632.646 1637.187 1641.727 1646.268 1650.809 1655.350
 [62,] 1635.586 1640.098 1644.609 1649.121 1653.633 1658.144 1662.656 1667.167
 [63,] 1647.666 1652.148 1656.630 1661.113 1665.595 1670.077 1674.560 1679.042
 [64,] 1659.802 1664.255 1668.708 1673.161 1677.615 1682.068 1686.521 1690.974
 [65,] 1671.996 1676.420 1680.844 1685.267 1689.691 1694.115 1698.539 1702.963
 [66,] 1684.247 1688.641 1693.036 1697.431 1701.825 1706.220 1710.615 1715.009
 [67,] 1696.555 1700.920 1705.286 1709.651 1714.016 1718.382 1722.747 1727.113
 [68,] 1708.920 1713.256 1717.592 1721.929 1726.265 1730.601 1734.937 1739.273
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 [70,] 1733.822 1738.100 1742.378 1746.655 1750.933 1755.211 1759.488 1763.766
 [71,] 1746.359 1750.608 1754.856 1759.104 1763.353 1767.601 1771.850 1776.098
 [72,] 1758.953 1763.172 1767.392 1771.611 1775.830 1780.049 1784.268 1788.488
 [73,] 1771.604 1775.794 1779.984 1784.174 1788.364 1792.554 1796.744 1800.934
 [74,] 1784.313 1788.473 1792.634 1796.795 1800.956 1805.116 1809.277 1813.438
 [75,] 1797.078 1801.210 1805.341 1809.473 1813.604 1817.736 1821.867 1825.999
 [76,] 1809.901 1814.003 1818.106 1822.208 1826.310 1830.412 1834.515 1838.617
 [77,] 1822.781 1826.854 1830.927 1835.000 1839.073 1843.146 1847.219 1851.292
 [78,] 1835.718 1839.762 1843.806 1847.850 1851.893 1855.937 1859.981 1864.025
 [79,] 1848.713 1852.727 1856.742 1860.756 1864.771 1868.785 1872.800 1876.814
 [80,] 1861.764 1865.749 1869.735 1873.720 1877.705 1881.690 1885.676 1889.661
 [81,] 1874.873 1878.829 1882.785 1886.741 1890.697 1894.653 1898.609 1902.565
 [82,] 1888.039 1891.965 1895.892 1899.819 1903.746 1907.673 1911.599 1915.526
 [83,] 1901.262 1905.159 1909.057 1912.954 1916.852 1920.750 1924.647 1928.545
 [84,] 1914.542 1918.410 1922.279 1926.147 1930.015 1933.884 1937.752 1941.620
 [85,] 1927.879 1931.719 1935.558 1939.397 1943.236 1947.075 1950.914 1954.753
 [86,] 1941.274 1945.084 1948.894 1952.704 1956.513 1960.323 1964.133 1967.943
 [87,] 1954.726 1958.506 1962.287 1966.068 1969.848 1973.629 1977.409 1981.190
 [88,] 1968.235 1971.986 1975.738 1979.489 1983.240 1986.992 1990.743 1994.494
 [89,] 1981.801 1985.523 1989.245 1992.967 1996.690 2000.412 2004.134 2007.856
 [90,] 1995.424 1999.117 2002.810 2006.503 2010.196 2013.889 2017.582 2021.275
 [91,] 2009.105 2012.769 2016.432 2020.096 2023.760 2027.423 2031.087 2034.750
 [92,] 2022.843 2026.477 2030.112 2033.746 2037.380 2041.015 2044.649 2048.284
 [93,] 2036.638 2040.243 2043.848 2047.453 2051.058 2054.663 2058.269 2061.874
 [94,] 2050.490 2054.066 2057.642 2061.217 2064.793 2068.369 2071.945 2075.521
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 [98,] 2106.470 2109.929 2113.388 2116.847 2120.306 2123.765 2127.224 2130.683
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          [,79]    [,80]    [,81]    [,82]    [,83]    [,84]    [,85]    [,86]
  [1,] 1057.244 1063.540 1069.835 1076.130 1082.425 1088.721 1095.016 1101.311
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  [3,] 1074.016 1080.253 1086.489 1092.726 1098.963 1105.200 1111.437 1117.673
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  [5,] 1091.016 1097.194 1103.373 1109.551 1115.729 1121.908 1128.086 1134.264
  [6,] 1099.602 1105.751 1111.900 1118.049 1124.198 1130.347 1136.496 1142.645
  [7,] 1108.245 1114.365 1120.485 1126.605 1132.724 1138.844 1144.964 1151.084
  [8,] 1116.945 1123.036 1129.126 1135.217 1141.308 1147.398 1153.489 1159.579
  [9,] 1125.703 1131.764 1137.825 1143.887 1149.948 1156.009 1162.071 1168.132
 [10,] 1134.517 1140.549 1146.582 1152.614 1158.646 1164.678 1170.710 1176.742
 [11,] 1143.389 1149.392 1155.395 1161.398 1167.401 1173.403 1179.406 1185.409
 [12,] 1152.318 1158.292 1164.265 1170.239 1176.213 1182.186 1188.160 1194.133
 [13,] 1161.304 1167.249 1173.193 1179.137 1185.082 1191.026 1196.971 1202.915
 [14,] 1170.348 1176.263 1182.178 1188.093 1194.008 1199.923 1205.839 1211.754
 [15,] 1179.448 1185.334 1191.220 1197.106 1202.992 1208.878 1214.764 1220.650
 [16,] 1188.606 1194.463 1200.319 1206.176 1212.033 1217.889 1223.746 1229.603
 [17,] 1197.821 1203.648 1209.476 1215.303 1221.131 1226.958 1232.785 1238.613
 [18,] 1207.093 1212.891 1218.689 1224.488 1230.286 1236.084 1241.882 1247.680
 [19,] 1216.422 1222.191 1227.960 1233.729 1239.498 1245.267 1251.036 1256.805
 [20,] 1225.809 1231.548 1237.288 1243.028 1248.768 1254.507 1260.247 1265.987
 [21,] 1235.252 1240.963 1246.673 1252.384 1258.094 1263.805 1269.515 1275.226
 [22,] 1244.753 1250.434 1256.116 1261.797 1267.478 1273.159 1278.841 1284.522
 [23,] 1254.311 1259.963 1265.615 1271.267 1276.919 1282.571 1288.223 1293.875
 [24,] 1263.927 1269.549 1275.172 1280.795 1286.417 1292.040 1297.663 1303.286
 [25,] 1273.599 1279.192 1284.786 1290.379 1295.973 1301.566 1307.160 1312.753
 [26,] 1283.329 1288.893 1294.457 1300.021 1305.586 1311.150 1316.714 1322.278
 [27,] 1293.115 1298.650 1304.185 1309.720 1315.255 1320.790 1326.325 1331.860
 [28,] 1302.959 1308.465 1313.971 1319.477 1324.982 1330.488 1335.994 1341.500
 [29,] 1312.860 1318.337 1323.813 1329.290 1334.766 1340.243 1345.720 1351.196
 [30,] 1322.819 1328.266 1333.713 1339.161 1344.608 1350.055 1355.502 1360.950
 [31,] 1332.834 1338.252 1343.670 1349.088 1354.506 1359.924 1365.343 1370.761
 [32,] 1342.907 1348.296 1353.685 1359.073 1364.462 1369.851 1375.240 1380.629
 [33,] 1353.037 1358.396 1363.756 1369.116 1374.475 1379.835 1385.194 1390.554
 [34,] 1363.224 1368.554 1373.885 1379.215 1384.545 1389.876 1395.206 1400.536
 [35,] 1373.468 1378.769 1384.070 1389.371 1394.672 1399.974 1405.275 1410.576
 [36,] 1383.770 1389.041 1394.313 1399.585 1404.857 1410.129 1415.401 1420.672
 [37,] 1394.128 1399.371 1404.613 1409.856 1415.099 1420.341 1425.584 1430.826
 [38,] 1404.544 1409.757 1414.971 1420.184 1425.397 1430.611 1435.824 1441.038
 [39,] 1415.017 1420.201 1425.385 1430.569 1435.753 1440.938 1446.122 1451.306
 [40,] 1425.547 1430.702 1435.857 1441.012 1446.167 1451.322 1456.476 1461.631
 [41,] 1436.135 1441.260 1446.386 1451.511 1456.637 1461.763 1466.888 1472.014
 [42,] 1446.779 1451.875 1456.972 1462.068 1467.165 1472.261 1477.358 1482.454
 [43,] 1457.481 1462.548 1467.615 1472.682 1477.749 1482.817 1487.884 1492.951
 [44,] 1468.240 1473.278 1478.316 1483.354 1488.391 1493.429 1498.467 1503.505
 [45,] 1479.056 1484.065 1489.073 1494.082 1499.091 1504.099 1509.108 1514.117
 [46,] 1489.929 1494.909 1499.888 1504.867 1509.847 1514.826 1519.806 1524.785
 [47,] 1500.860 1505.810 1510.760 1515.710 1520.660 1525.611 1530.561 1535.511
 [48,] 1511.847 1516.768 1521.689 1526.610 1531.531 1536.452 1541.373 1546.294
 [49,] 1522.892 1527.784 1532.676 1537.567 1542.459 1547.351 1552.242 1557.134
 [50,] 1533.994 1538.857 1543.719 1548.582 1553.444 1558.307 1563.169 1568.032
 [51,] 1545.153 1549.987 1554.820 1559.653 1564.486 1569.320 1574.153 1578.986
 [52,] 1556.370 1561.174 1565.978 1570.782 1575.586 1580.390 1585.194 1589.998
 [53,] 1567.643 1572.418 1577.193 1581.968 1586.742 1591.517 1596.292 1601.067
 [54,] 1578.974 1583.720 1588.465 1593.211 1597.956 1602.702 1607.447 1612.193
 [55,] 1590.362 1595.078 1599.795 1604.511 1609.227 1613.944 1618.660 1623.376
 [56,] 1601.807 1606.494 1611.181 1615.868 1620.555 1625.242 1629.930 1634.617
 [57,] 1613.310 1617.967 1622.625 1627.283 1631.941 1636.599 1641.256 1645.914
 [58,] 1624.869 1629.498 1634.126 1638.755 1643.383 1648.012 1652.640 1657.269
 [59,] 1636.486 1641.085 1645.684 1650.284 1654.883 1659.482 1664.082 1668.681
 [60,] 1648.160 1652.730 1657.300 1661.870 1666.440 1671.010 1675.580 1680.150
 [61,] 1659.891 1664.432 1668.972 1673.513 1678.054 1682.595 1687.136 1691.677
 [62,] 1671.679 1676.191 1680.702 1685.214 1689.725 1694.237 1698.749 1703.260
 [63,] 1683.524 1688.007 1692.489 1696.972 1701.454 1705.936 1710.419 1714.901
 [64,] 1695.427 1699.880 1704.333 1708.786 1713.240 1717.693 1722.146 1726.599
 [65,] 1707.387 1711.811 1716.235 1720.659 1725.082 1729.506 1733.930 1738.354
 [66,] 1719.404 1723.799 1728.193 1732.588 1736.982 1741.377 1745.772 1750.166
 [67,] 1731.478 1735.843 1740.209 1744.574 1748.940 1753.305 1757.671 1762.036
 [68,] 1743.609 1747.946 1752.282 1756.618 1760.954 1765.290 1769.626 1773.963
 [69,] 1755.798 1760.105 1764.412 1768.719 1773.026 1777.333 1781.640 1785.946
 [70,] 1768.044 1772.321 1776.599 1780.877 1785.154 1789.432 1793.710 1797.988
 [71,] 1780.347 1784.595 1788.844 1793.092 1797.340 1801.589 1805.837 1810.086
 [72,] 1792.707 1796.926 1801.145 1805.364 1809.584 1813.803 1818.022 1822.241
 [73,] 1805.124 1809.314 1813.504 1817.694 1821.884 1826.074 1830.264 1834.454
 [74,] 1817.599 1821.759 1825.920 1830.081 1834.241 1838.402 1842.563 1846.724
 [75,] 1830.130 1834.262 1838.393 1842.525 1846.656 1850.788 1854.919 1859.051
 [76,] 1842.719 1846.821 1850.924 1855.026 1859.128 1863.230 1867.333 1871.435
 [77,] 1855.365 1859.438 1863.511 1867.584 1871.657 1875.730 1879.803 1883.876
 [78,] 1868.068 1872.112 1876.156 1880.200 1884.243 1888.287 1892.331 1896.375
 [79,] 1880.829 1884.843 1888.858 1892.872 1896.887 1900.901 1904.916 1908.930
 [80,] 1893.646 1897.632 1901.617 1905.602 1909.587 1913.573 1917.558 1921.543
 [81,] 1906.521 1910.477 1914.433 1918.389 1922.345 1926.301 1930.257 1934.213
 [82,] 1919.453 1923.380 1927.307 1931.233 1935.160 1939.087 1943.014 1946.941
 [83,] 1932.442 1936.340 1940.237 1944.135 1948.032 1951.930 1955.828 1959.725
 [84,] 1945.489 1949.357 1953.225 1957.094 1960.962 1964.830 1968.698 1972.567
 [85,] 1958.592 1962.431 1966.270 1970.109 1973.948 1977.787 1981.627 1985.466
 [86,] 1971.753 1975.563 1979.372 1983.182 1986.992 1990.802 1994.612 1998.422
 [87,] 1984.971 1988.751 1992.532 1996.312 2000.093 2003.874 2007.654 2011.435
 [88,] 1998.246 2001.997 2005.748 2009.500 2013.251 2017.003 2020.754 2024.505
 [89,] 2011.578 2015.300 2019.022 2022.744 2026.467 2030.189 2033.911 2037.633
 [90,] 2024.967 2028.660 2032.353 2036.046 2039.739 2043.432 2047.125 2050.818
 [91,] 2038.414 2042.078 2045.741 2049.405 2053.069 2056.732 2060.396 2064.060
 [92,] 2051.918 2055.552 2059.187 2062.821 2066.456 2070.090 2073.724 2077.359
 [93,] 2065.479 2069.084 2072.689 2076.294 2079.900 2083.505 2087.110 2090.715
 [94,] 2079.097 2082.673 2086.249 2089.825 2093.401 2096.977 2100.553 2104.129
 [95,] 2092.772 2096.319 2099.866 2103.413 2106.959 2110.506 2114.053 2117.599
 [96,] 2106.505 2110.022 2113.540 2117.057 2120.575 2124.092 2127.610 2131.127
 [97,] 2120.295 2123.783 2127.271 2130.759 2134.248 2137.736 2141.224 2144.712
 [98,] 2134.142 2137.601 2141.060 2144.519 2147.978 2151.437 2154.895 2158.354
 [99,] 2148.046 2151.476 2154.905 2158.335 2161.765 2165.194 2168.624 2172.054
          [,87]    [,88]    [,89]    [,90]    [,91]    [,92]    [,93]    [,94]
  [1,] 1107.607 1113.902 1120.197 1126.492 1132.788 1139.083 1145.378 1151.673
  [2,] 1115.730 1121.996 1128.262 1134.528 1140.794 1147.060 1153.326 1159.592
  [3,] 1123.910 1130.147 1136.384 1142.620 1148.857 1155.094 1161.331 1167.568
  [4,] 1132.148 1138.355 1144.563 1150.770 1156.978 1163.185 1169.393 1175.600
  [5,] 1140.442 1146.621 1152.799 1158.977 1165.156 1171.334 1177.512 1183.691
  [6,] 1148.794 1154.943 1161.093 1167.242 1173.391 1179.540 1185.689 1191.838
  [7,] 1157.204 1163.323 1169.443 1175.563 1181.683 1187.803 1193.922 1200.042
  [8,] 1165.670 1171.760 1177.851 1183.942 1190.032 1196.123 1202.213 1208.304
  [9,] 1174.193 1180.255 1186.316 1192.377 1198.439 1204.500 1210.561 1216.623
 [10,] 1182.774 1188.806 1194.838 1200.870 1206.902 1212.935 1218.967 1224.999
 [11,] 1191.412 1197.415 1203.418 1209.421 1215.423 1221.426 1227.429 1233.432
 [12,] 1200.107 1206.081 1212.054 1218.028 1224.002 1229.975 1235.949 1241.922
 [13,] 1208.859 1214.804 1220.748 1226.692 1232.637 1238.581 1244.526 1250.470
 [14,] 1217.669 1223.584 1229.499 1235.414 1241.329 1247.244 1253.160 1259.075
 [15,] 1226.535 1232.421 1238.307 1244.193 1250.079 1255.965 1261.851 1267.737
 [16,] 1235.459 1241.316 1247.173 1253.029 1258.886 1264.742 1270.599 1276.456
 [17,] 1244.440 1250.268 1256.095 1261.922 1267.750 1273.577 1279.405 1285.232
 [18,] 1253.478 1259.277 1265.075 1270.873 1276.671 1282.469 1288.267 1294.066
 [19,] 1262.574 1268.343 1274.112 1279.881 1285.649 1291.418 1297.187 1302.956
 [20,] 1271.726 1277.466 1283.206 1288.945 1294.685 1300.425 1306.164 1311.904
 [21,] 1280.936 1286.646 1292.357 1298.067 1303.778 1309.488 1315.199 1320.909
 [22,] 1290.203 1295.884 1301.565 1307.247 1312.928 1318.609 1324.290 1329.971
 [23,] 1299.527 1305.179 1310.831 1316.483 1322.135 1327.787 1333.439 1339.091
 [24,] 1308.908 1314.531 1320.154 1325.777 1331.399 1337.022 1342.645 1348.267
 [25,] 1318.347 1323.940 1329.534 1335.127 1340.721 1346.314 1351.908 1357.501
 [26,] 1327.843 1333.407 1338.971 1344.535 1350.100 1355.664 1361.228 1366.792
 [27,] 1337.395 1342.930 1348.465 1354.000 1359.535 1365.070 1370.605 1376.140
 [28,] 1347.005 1352.511 1358.017 1363.523 1369.028 1374.534 1380.040 1385.546
 [29,] 1356.673 1362.149 1367.626 1373.102 1378.579 1384.055 1389.532 1395.008
 [30,] 1366.397 1371.844 1377.292 1382.739 1388.186 1393.633 1399.081 1404.528
 [31,] 1376.179 1381.597 1387.015 1392.433 1397.851 1403.269 1408.687 1414.105
 [32,] 1386.017 1391.406 1396.795 1402.184 1407.573 1412.961 1418.350 1423.739
 [33,] 1395.913 1401.273 1406.632 1411.992 1417.352 1422.711 1428.071 1433.430
 [34,] 1405.866 1411.197 1416.527 1421.857 1427.188 1432.518 1437.848 1443.179
 [35,] 1415.877 1421.178 1426.479 1431.780 1437.081 1442.382 1447.683 1452.984
 [36,] 1425.944 1431.216 1436.488 1441.760 1447.032 1452.304 1457.575 1462.847
 [37,] 1436.069 1441.312 1446.554 1451.797 1457.039 1462.282 1467.525 1472.767
 [38,] 1446.251 1451.464 1456.678 1461.891 1467.104 1472.318 1477.531 1482.745
 [39,] 1456.490 1461.674 1466.858 1472.042 1477.227 1482.411 1487.595 1492.779
 [40,] 1466.786 1471.941 1477.096 1482.251 1487.406 1492.561 1497.716 1502.870
 [41,] 1477.140 1482.265 1487.391 1492.517 1497.642 1502.768 1507.894 1513.019
 [42,] 1487.550 1492.647 1497.743 1502.840 1507.936 1513.032 1518.129 1523.225
 [43,] 1498.018 1503.085 1508.152 1513.220 1518.287 1523.354 1528.421 1533.488
 [44,] 1508.543 1513.581 1518.619 1523.657 1528.695 1533.733 1538.771 1543.809
 [45,] 1519.125 1524.134 1529.143 1534.151 1539.160 1544.169 1549.177 1554.186
 [46,] 1529.765 1534.744 1539.724 1544.703 1549.683 1554.662 1559.641 1564.621
 [47,] 1540.461 1545.411 1550.362 1555.312 1560.262 1565.212 1570.163 1575.113
 [48,] 1551.215 1556.136 1561.057 1565.978 1570.899 1575.820 1580.741 1585.662
 [49,] 1562.026 1566.918 1571.809 1576.701 1581.593 1586.485 1591.376 1596.268
 [50,] 1572.894 1577.757 1582.619 1587.482 1592.344 1597.206 1602.069 1606.931
 [51,] 1583.819 1588.653 1593.486 1598.319 1603.152 1607.986 1612.819 1617.652
 [52,] 1594.802 1599.606 1604.410 1609.214 1614.018 1618.822 1623.626 1628.430
 [53,] 1605.842 1610.616 1615.391 1620.166 1624.941 1629.715 1634.490 1639.265
 [54,] 1616.938 1621.684 1626.429 1631.175 1635.920 1640.666 1645.412 1650.157
 [55,] 1628.092 1632.809 1637.525 1642.241 1646.958 1651.674 1656.390 1661.106
 [56,] 1639.304 1643.991 1648.678 1653.365 1658.052 1662.739 1667.426 1672.113
 [57,] 1650.572 1655.230 1659.888 1664.545 1669.203 1673.861 1678.519 1683.177
 [58,] 1661.898 1666.526 1671.155 1675.783 1680.412 1685.040 1689.669 1694.298
 [59,] 1673.280 1677.880 1682.479 1687.078 1691.678 1696.277 1700.876 1705.476
 [60,] 1684.720 1689.290 1693.861 1698.431 1703.001 1707.571 1712.141 1716.711
 [61,] 1696.218 1700.758 1705.299 1709.840 1714.381 1718.922 1723.463 1728.003
 [62,] 1707.772 1712.283 1716.795 1721.307 1725.818 1730.330 1734.841 1739.353
 [63,] 1719.383 1723.866 1728.348 1732.830 1737.313 1741.795 1746.278 1750.760
 [64,] 1731.052 1735.505 1739.958 1744.411 1748.865 1753.318 1757.771 1762.224
 [65,] 1742.778 1747.202 1751.626 1756.050 1760.474 1764.897 1769.321 1773.745
 [66,] 1754.561 1758.956 1763.350 1767.745 1772.140 1776.534 1780.929 1785.324
 [67,] 1766.401 1770.767 1775.132 1779.498 1783.863 1788.228 1792.594 1796.959
 [68,] 1778.299 1782.635 1786.971 1791.307 1795.643 1799.980 1804.316 1808.652
 [69,] 1790.253 1794.560 1798.867 1803.174 1807.481 1811.788 1816.095 1820.402
 [70,] 1802.265 1806.543 1810.821 1815.098 1819.376 1823.654 1827.931 1832.209
 [71,] 1814.334 1818.583 1822.831 1827.080 1831.328 1835.576 1839.825 1844.073
 [72,] 1826.460 1830.680 1834.899 1839.118 1843.337 1847.556 1851.776 1855.995
 [73,] 1838.644 1842.834 1847.024 1851.214 1855.404 1859.594 1863.784 1867.974
 [74,] 1850.884 1855.045 1859.206 1863.367 1867.527 1871.688 1875.849 1880.009
 [75,] 1863.182 1867.314 1871.445 1875.577 1879.708 1883.840 1887.971 1892.102
 [76,] 1875.537 1879.639 1883.742 1887.844 1891.946 1896.048 1900.150 1904.253
 [77,] 1887.949 1892.022 1896.095 1900.168 1904.241 1908.314 1912.387 1916.460
 [78,] 1900.418 1904.462 1908.506 1912.550 1916.593 1920.637 1924.681 1928.725
 [79,] 1912.945 1916.959 1920.974 1924.988 1929.003 1933.018 1937.032 1941.047
 [80,] 1925.529 1929.514 1933.499 1937.484 1941.470 1945.455 1949.440 1953.426
 [81,] 1938.169 1942.126 1946.082 1950.038 1953.994 1957.950 1961.906 1965.862
 [82,] 1950.868 1954.794 1958.721 1962.648 1966.575 1970.502 1974.428 1978.355
 [83,] 1963.623 1967.520 1971.418 1975.315 1979.213 1983.111 1987.008 1990.906
 [84,] 1976.435 1980.303 1984.172 1988.040 1991.908 1995.777 1999.645 2003.513
 [85,] 1989.305 1993.144 1996.983 2000.822 2004.661 2008.500 2012.339 2016.178
 [86,] 2002.232 2006.041 2009.851 2013.661 2017.471 2021.281 2025.091 2028.900
 [87,] 2015.215 2018.996 2022.777 2026.557 2030.338 2034.119 2037.899 2041.680
 [88,] 2028.257 2032.008 2035.759 2039.511 2043.262 2047.013 2050.765 2054.516
 [89,] 2041.355 2045.077 2048.799 2052.521 2056.243 2059.966 2063.688 2067.410
 [90,] 2054.511 2058.203 2061.896 2065.589 2069.282 2072.975 2076.668 2080.361
 [91,] 2067.723 2071.387 2075.051 2078.714 2082.378 2086.041 2089.705 2093.369
 [92,] 2080.993 2084.628 2088.262 2091.896 2095.531 2099.165 2102.800 2106.434
 [93,] 2094.320 2097.925 2101.531 2105.136 2108.741 2112.346 2115.951 2119.556
 [94,] 2107.704 2111.280 2114.856 2118.432 2122.008 2125.584 2129.160 2132.736
 [95,] 2121.146 2124.693 2128.239 2131.786 2135.333 2138.879 2142.426 2145.973
 [96,] 2134.645 2138.162 2141.679 2145.197 2148.714 2152.232 2155.749 2159.267
 [97,] 2148.200 2151.689 2155.177 2158.665 2162.153 2165.641 2169.130 2172.618
 [98,] 2161.813 2165.272 2168.731 2172.190 2175.649 2179.108 2182.567 2186.026
 [99,] 2175.484 2178.913 2182.343 2185.773 2189.202 2192.632 2196.062 2199.492
          [,95]    [,96]    [,97]    [,98]    [,99]
  [1,] 1157.969 1164.264 1170.559 1176.854 1183.150
  [2,] 1165.858 1172.124 1178.390 1184.656 1190.922
  [3,] 1173.804 1180.041 1186.278 1192.515 1198.751
  [4,] 1181.808 1188.016 1194.223 1200.431 1206.638
  [5,] 1189.869 1196.047 1202.225 1208.404 1214.582
  [6,] 1197.987 1204.136 1210.285 1216.434 1222.583
  [7,] 1206.162 1212.282 1218.402 1224.522 1230.641
  [8,] 1214.394 1220.485 1226.576 1232.666 1238.757
  [9,] 1222.684 1228.745 1234.807 1240.868 1246.929
 [10,] 1231.031 1237.063 1243.095 1249.127 1255.159
 [11,] 1239.435 1245.438 1251.441 1257.443 1263.446
 [12,] 1247.896 1253.870 1259.843 1265.817 1271.790
 [13,] 1256.414 1262.359 1268.303 1274.247 1280.192
 [14,] 1264.990 1270.905 1276.820 1282.735 1288.650
 [15,] 1273.623 1279.508 1285.394 1291.280 1297.166
 [16,] 1282.312 1288.169 1294.026 1299.882 1305.739
 [17,] 1291.059 1296.887 1302.714 1308.542 1314.369
 [18,] 1299.864 1305.662 1311.460 1317.258 1323.056
 [19,] 1308.725 1314.494 1320.263 1326.032 1331.801
 [20,] 1317.644 1323.384 1329.123 1334.863 1340.603
 [21,] 1326.620 1332.330 1338.041 1343.751 1349.461
 [22,] 1335.653 1341.334 1347.015 1352.696 1358.377
 [23,] 1344.743 1350.395 1356.047 1361.699 1367.351
 [24,] 1353.890 1359.513 1365.136 1370.758 1376.381
 [25,] 1363.095 1368.688 1374.282 1379.875 1385.469
 [26,] 1372.357 1377.921 1383.485 1389.049 1394.614
 [27,] 1381.675 1387.210 1392.745 1398.280 1403.815
 [28,] 1391.052 1396.557 1402.063 1407.569 1413.075
 [29,] 1400.485 1405.961 1411.438 1416.914 1422.391
 [30,] 1409.975 1415.423 1420.870 1426.317 1431.764
 [31,] 1419.523 1424.941 1430.359 1435.777 1441.195
 [32,] 1429.128 1434.517 1439.905 1445.294 1450.683
 [33,] 1438.790 1444.149 1449.509 1454.869 1460.228
 [34,] 1448.509 1453.839 1459.170 1464.500 1469.830
 [35,] 1458.286 1463.587 1468.888 1474.189 1479.490
 [36,] 1468.119 1473.391 1478.663 1483.935 1489.207
 [37,] 1478.010 1483.253 1488.495 1493.738 1498.980
 [38,] 1487.958 1493.171 1498.385 1503.598 1508.811
 [39,] 1497.963 1503.147 1508.331 1513.515 1518.700
 [40,] 1508.025 1513.180 1518.335 1523.490 1528.645
 [41,] 1518.145 1523.271 1528.396 1533.522 1538.647
 [42,] 1528.322 1533.418 1538.514 1543.611 1548.707
 [43,] 1538.556 1543.623 1548.690 1553.757 1558.824
 [44,] 1548.847 1553.885 1558.922 1563.960 1568.998
 [45,] 1559.195 1564.204 1569.212 1574.221 1579.230
 [46,] 1569.600 1574.580 1579.559 1584.539 1589.518
 [47,] 1580.063 1585.013 1589.963 1594.914 1599.864
 [48,] 1590.583 1595.504 1600.425 1605.346 1610.267
 [49,] 1601.160 1606.051 1610.943 1615.835 1620.727
 [50,] 1611.794 1616.656 1621.519 1626.381 1631.244
 [51,] 1622.485 1627.319 1632.152 1636.985 1641.818
 [52,] 1633.234 1638.038 1642.842 1647.646 1652.450
 [53,] 1644.040 1648.814 1653.589 1658.364 1663.139
 [54,] 1654.903 1659.648 1664.394 1669.139 1673.885
 [55,] 1665.823 1670.539 1675.255 1679.972 1684.688
 [56,] 1676.800 1681.487 1686.174 1690.861 1695.548
 [57,] 1687.834 1692.492 1697.150 1701.808 1706.466
 [58,] 1698.926 1703.555 1708.183 1712.812 1717.440
 [59,] 1710.075 1714.674 1719.274 1723.873 1728.472
 [60,] 1721.281 1725.851 1730.421 1734.991 1739.561
 [61,] 1732.544 1737.085 1741.626 1746.167 1750.708
 [62,] 1743.865 1748.376 1752.888 1757.400 1761.911
 [63,] 1755.242 1759.725 1764.207 1768.689 1773.172
 [64,] 1766.677 1771.130 1775.583 1780.036 1784.490
 [65,] 1778.169 1782.593 1787.017 1791.441 1795.865
 [66,] 1789.718 1794.113 1798.508 1802.902 1807.297
 [67,] 1801.325 1805.690 1810.055 1814.421 1818.786
 [68,] 1812.988 1817.324 1821.660 1825.997 1830.333
 [69,] 1824.709 1829.016 1833.323 1837.630 1841.936
 [70,] 1836.487 1840.764 1845.042 1849.320 1853.597
 [71,] 1848.322 1852.570 1856.819 1861.067 1865.316
 [72,] 1860.214 1864.433 1868.652 1872.872 1877.091
 [73,] 1872.163 1876.353 1880.543 1884.733 1888.923
 [74,] 1884.170 1888.331 1892.492 1896.652 1900.813
 [75,] 1896.234 1900.365 1904.497 1908.628 1912.760
 [76,] 1908.355 1912.457 1916.559 1920.662 1924.764
 [77,] 1920.533 1924.606 1928.679 1932.752 1936.825
 [78,] 1932.769 1936.812 1940.856 1944.900 1948.944
 [79,] 1945.061 1949.076 1953.090 1957.105 1961.119
 [80,] 1957.411 1961.396 1965.381 1969.367 1973.352
 [81,] 1969.818 1973.774 1977.730 1981.686 1985.642
 [82,] 1982.282 1986.209 1990.136 1994.062 1997.989
 [83,] 1994.803 1998.701 2002.598 2006.496 2010.393
 [84,] 2007.382 2011.250 2015.118 2018.987 2022.855
 [85,] 2020.017 2023.856 2027.696 2031.535 2035.374
 [86,] 2032.710 2036.520 2040.330 2044.140 2047.950
 [87,] 2045.460 2049.241 2053.022 2056.802 2060.583
 [88,] 2058.268 2062.019 2065.770 2069.522 2073.273
 [89,] 2071.132 2074.854 2078.576 2082.298 2086.020
 [90,] 2084.054 2087.746 2091.439 2095.132 2098.825
 [91,] 2097.032 2100.696 2104.360 2108.023 2111.687
 [92,] 2110.068 2113.703 2117.337 2120.972 2124.606
 [93,] 2123.161 2126.767 2130.372 2133.977 2137.582
 [94,] 2136.312 2139.888 2143.464 2147.040 2150.616
 [95,] 2149.519 2153.066 2156.613 2160.159 2163.706
 [96,] 2162.784 2166.302 2169.819 2173.336 2176.854
 [97,] 2176.106 2179.594 2183.082 2186.571 2190.059
 [98,] 2189.485 2192.944 2196.403 2199.862 2203.321
 [99,] 2202.921 2206.351 2209.781 2213.211 2216.640

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "soc_5_15cm"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc arain_tot population_density
1      0      2     5       0        0   902.536            108.364
  wc2.1_30s_elev sand_0_5cm nitrogen_0_5cm ECN_5_15cm pH_0_5cm
1           1169         57            1.3        0.3     6.04

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_soils_2014_v <- visreg2d(baseline_quad_inter_soils_2014, "N_kgha", "soc_5_15cm",ylab="Soil carbon (g per kg)",xlab="Nitrogen (kg per ha)", main="2014")

baseline_quad_inter_soils_2014_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  6.600000  7.069388  7.538775  8.008163  8.477551  8.946939  9.416326
 [8]  9.885714 10.355102 10.824490 11.293877 11.763265 12.232653 12.702041
[15] 13.171428 13.640816 14.110204 14.579591 15.048979 15.518367 15.987755
[22] 16.457142 16.926530 17.395918 17.865306 18.334693 18.804081 19.273469
[29] 19.742857 20.212244 20.681632 21.151020 21.620408 22.089795 22.559183
[36] 23.028571 23.497959 23.967346 24.436734 24.906122 25.375510 25.844897
[43] 26.314285 26.783673 27.253060 27.722448 28.191836 28.661224 29.130611
[50] 29.599999 30.069387 30.538775 31.008162 31.477550 31.946938 32.416326
[57] 32.885713 33.355101 33.824489 34.293877 34.763264 35.232652 35.702040
[64] 36.171428 36.640815 37.110203 37.579591 38.048979 38.518366 38.987754
[71] 39.457142 39.926529 40.395917 40.865305 41.334693 41.804080 42.273468
[78] 42.742856 43.212244 43.681631 44.151019 44.620407 45.089795 45.559182
[85] 46.028570 46.497958 46.967346 47.436733 47.906121 48.375509 48.844897
[92] 49.314284 49.783672 50.253060 50.722448 51.191835 51.661223 52.130611
[99] 52.599998

$z
            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
  [1,]  680.6635  688.4951  696.3268  704.1585  711.9901  719.8218  727.6535
  [2,]  682.0724  690.0978  698.1231  706.1485  714.1738  722.1991  730.2245
  [3,]  683.7782  691.9972  700.2162  708.4352  716.6542  724.8733  733.0923
  [4,]  685.7807  694.1934  702.6061  711.0188  719.4315  727.8441  736.2568
  [5,]  688.0800  696.6864  705.2927  713.8991  722.5055  731.1118  739.7182
  [6,]  690.6761  699.4762  708.2762  717.0762  725.8762  734.6762  743.4763
  [7,]  693.5690  702.5627  711.5564  720.5501  729.5438  738.5375  747.5312
  [8,]  696.7586  705.9460  715.1334  724.3207  733.5081  742.6955  751.8828
  [9,]  700.2451  709.6261  719.0071  728.3882  737.7692  747.1502  756.5313
 [10,]  704.0283  713.6030  723.1777  732.7524  742.3271  751.9018  761.4765
 [11,]  708.1083  717.8766  727.6450  737.4134  747.1818  756.9501  766.7185
 [12,]  712.4850  722.4471  732.4091  742.3712  752.3332  762.2952  772.2573
 [13,]  717.1586  727.3143  737.4700  747.6257  757.7814  767.9371  778.0928
 [14,]  722.1289  732.4783  742.8276  753.1770  763.5264  773.8758  784.2252
 [15,]  727.3960  737.9390  748.4821  759.0251  769.5682  780.1112  790.6543
 [16,]  732.9598  743.6966  754.4333  765.1700  775.9067  786.6435  797.3802
 [17,]  738.8205  749.7509  760.6813  771.6117  782.5421  793.4725  804.4029
 [18,]  744.9779  756.1020  767.2261  778.3501  789.4742  800.5983  811.7223
 [19,]  751.4321  762.7499  774.0676  785.3853  796.7031  808.0208  819.3385
 [20,]  758.1831  769.6945  781.2059  792.7173  804.2287  815.7401  827.2516
 [21,]  765.2309  776.9360  788.6410  800.3461  812.0512  823.7563  835.4613
 [22,]  772.5754  784.4742  796.3729  808.2717  820.1704  832.0692  843.9679
 [23,]  780.2167  792.3092  804.4016  816.4940  828.5864  840.6788  852.7712
 [24,]  788.1548  800.4409  812.7270  825.0131  837.2992  849.5853  861.8714
 [25,]  796.3897  808.8695  821.3492  833.8290  846.3087  858.7885  871.2683
 [26,]  804.9214  817.5948  830.2682  842.9416  855.6151  868.2885  880.9619
 [27,]  813.7498  826.6169  839.4840  852.3511  865.2182  878.0853  890.9524
 [28,]  822.8750  835.9358  848.9965  862.0573  875.1181  888.1789  901.2396
 [29,]  832.2970  845.5514  858.8059  872.0603  885.3148  898.5692  911.8236
 [30,]  842.0158  855.4639  868.9120  882.3601  895.8082  909.2563  922.7044
 [31,]  852.0313  865.6731  879.3149  892.9566  906.5984  920.2402  933.8820
 [32,]  862.3436  876.1791  890.0145  903.8500  917.6854  931.5209  945.3563
 [33,]  872.9527  886.9818  901.0110  915.0401  929.0692  943.0983  957.1275
 [34,]  883.8586  898.0814  912.3042  926.5270  940.7498  954.9726  969.1954
 [35,]  895.0613  909.4777  923.8942  938.3106  952.7271  967.1436  981.5600
 [36,]  906.5607  921.1708  935.7810  950.3911  965.0012  979.6114  994.2215
 [37,]  918.3569  933.1607  947.9645  962.7683  977.5721  992.3759 1007.1797
 [38,]  930.4499  945.4474  960.4448  975.4423  990.4398 1005.4373 1020.4347
 [39,]  942.8397  958.0308  973.2220  988.4131 1003.6042 1018.7954 1033.9865
 [40,]  955.5262  970.9110  986.2958 1001.6807 1017.0655 1032.4503 1047.8351
 [41,]  968.5095  984.0880  999.6665 1015.2450 1030.8235 1046.4020 1061.9804
 [42,]  981.7896  997.5618 1013.3340 1029.1061 1044.8783 1060.6504 1076.4226
 [43,]  995.3665 1011.3324 1027.2982 1043.2640 1059.2298 1075.1957 1091.1615
 [44,] 1009.2402 1025.3997 1041.5592 1057.7187 1073.8782 1090.0377 1106.1972
 [45,] 1023.4106 1039.7638 1056.1170 1072.4701 1088.8233 1105.1765 1121.5296
 [46,] 1037.8778 1054.4247 1070.9715 1087.5184 1104.0652 1120.6120 1137.1589
 [47,] 1052.6418 1069.3823 1086.1229 1102.8634 1119.6039 1136.3444 1153.0849
 [48,] 1067.7026 1084.6368 1101.5710 1118.5051 1135.4393 1152.3735 1169.3077
 [49,] 1083.0602 1100.1880 1117.3159 1134.4437 1151.5715 1168.6994 1185.8272
 [50,] 1098.7145 1116.0360 1133.3575 1150.6790 1168.0006 1185.3221 1202.6436
 [51,] 1114.6656 1132.1808 1149.6960 1167.2112 1184.7263 1202.2415 1219.7567
 [52,] 1130.9135 1148.6223 1166.3312 1184.0401 1201.7489 1219.4578 1237.1666
 [53,] 1147.4581 1165.3607 1183.2632 1201.1657 1219.0683 1236.9708 1254.8733
 [54,] 1164.2996 1182.3958 1200.4920 1218.5882 1236.6844 1254.7806 1272.8768
 [55,] 1181.4378 1199.7277 1218.0175 1236.3074 1254.5973 1272.8872 1291.1770
 [56,] 1198.8728 1217.3563 1235.8399 1254.3234 1272.8070 1291.2905 1309.7740
 [57,] 1216.6046 1235.2818 1253.9590 1272.6362 1291.3134 1309.9906 1328.6678
 [58,] 1234.6331 1253.5040 1272.3749 1291.2458 1310.1167 1328.9875 1347.8584
 [59,] 1252.9585 1272.0230 1291.0876 1310.1521 1329.2167 1348.2812 1367.3458
 [60,] 1271.5806 1290.8388 1310.0970 1329.3552 1348.6135 1367.8717 1387.1299
 [61,] 1290.4995 1309.9514 1329.4032 1348.8551 1368.3070 1387.7589 1407.2108
 [62,] 1309.7151 1329.3607 1349.0063 1368.6518 1388.2974 1407.9429 1427.5885
 [63,] 1329.2276 1349.0668 1368.9060 1388.7453 1408.5845 1428.4237 1448.2630
 [64,] 1349.0368 1369.0697 1389.1026 1409.1355 1429.1684 1449.2013 1469.2342
 [65,] 1369.1428 1389.3694 1409.5959 1429.8225 1450.0491 1470.2757 1490.5022
 [66,] 1389.5456 1409.9658 1430.3861 1450.8063 1471.2266 1491.6468 1512.0670
 [67,] 1410.2451 1430.8591 1451.4730 1472.0869 1492.7008 1513.3147 1533.9286
 [68,] 1431.2415 1452.0491 1472.8566 1493.6642 1514.4718 1535.2794 1556.0870
 [69,] 1452.5346 1473.5358 1494.5371 1515.5383 1536.5396 1557.5409 1578.5421
 [70,] 1474.1245 1495.3194 1516.5143 1537.7093 1558.9042 1580.0991 1601.2940
 [71,] 1496.0111 1517.3997 1538.7883 1560.1769 1581.5655 1602.9541 1624.3427
 [72,] 1518.1946 1539.7769 1561.3591 1582.9414 1604.5237 1626.1059 1647.6882
 [73,] 1540.6748 1562.4508 1584.2267 1606.0026 1627.7786 1649.5545 1671.3304
 [74,] 1563.4518 1585.4214 1607.3910 1629.3606 1651.3302 1673.2999 1695.2695
 [75,] 1586.5256 1608.6889 1630.8522 1653.0154 1675.1787 1697.3420 1719.5053
 [76,] 1609.8962 1632.2531 1654.6101 1676.9670 1699.3240 1721.6809 1744.0378
 [77,] 1633.5635 1656.1141 1678.6647 1701.2154 1723.7660 1746.3166 1768.8672
 [78,] 1657.5276 1680.2719 1703.0162 1725.7605 1748.5048 1771.2491 1793.9933
 [79,] 1681.7885 1704.7265 1727.6644 1750.6024 1773.5403 1796.4783 1819.4163
 [80,] 1706.3462 1729.4778 1752.6094 1775.7411 1798.8727 1822.0043 1845.1360
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 [82,] 1756.3519 1779.8708 1803.3898 1826.9088 1850.4277 1873.9467 1897.4657
 [83,] 1781.7999 1805.5125 1829.2252 1852.9378 1876.6504 1900.3631 1924.0757
 [84,] 1807.5447 1831.4510 1855.3573 1879.2636 1903.1699 1927.0762 1950.9825
 [85,] 1833.5862 1857.6862 1881.7862 1905.8862 1929.9861 1954.0861 1978.1861
 [86,] 1859.9246 1884.2182 1908.5119 1932.8055 1957.0992 1981.3928 2005.6865
 [87,] 1886.5597 1911.0470 1935.5343 1960.0217 1984.5090 2008.9963 2033.4836
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 [89,] 1940.7203 1965.5949 1990.4696 2015.3442 2040.2189 2065.0936 2089.9682
 [90,] 1968.2457 1993.3141 2018.3824 2043.4507 2068.5190 2093.5874 2118.6557
 [91,] 1996.0680 2021.3300 2046.5920 2071.8540 2097.1160 2122.3780 2147.6400
 [92,] 2024.1870 2049.6426 2075.0983 2100.5540 2126.0097 2151.4653 2176.9210
 [93,] 2052.6028 2078.2521 2103.9014 2129.5508 2155.2001 2180.8495 2206.4988
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            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
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 [13,]  788.2486  798.4043  808.5600  818.7157  828.8714  839.0271  849.1829
 [14,]  794.5746  804.9240  815.2733  825.6227  835.9721  846.3215  856.6709
 [15,]  801.1974  811.7404  822.2835  832.8265  843.3696  853.9126  864.4557
 [16,]  808.1169  818.8536  829.5904  840.3271  851.0638  861.8006  872.5373
 [17,]  815.3333  826.2637  837.1941  848.1245  859.0548  869.9852  880.9156
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 [19,]  830.6563  841.9740  853.2918  864.6095  875.9272  887.2450  898.5627
 [20,]  838.7630  850.2744  861.7858  873.2972  884.8086  896.3200  907.8314
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 [23,]  864.8637  876.9561  889.0485  901.1409  913.2333  925.3258  937.4182
 [24,]  874.1575  886.4435  898.7296  911.0157  923.3018  935.5879  947.8740
 [25,]  883.7480  896.2278  908.7075  921.1873  933.6671  946.1468  958.6266
 [26,]  893.6354  906.3088  918.9822  931.6557  944.3291  957.0025  969.6759
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 [28,]  914.3004  927.3612  940.4219  953.4827  966.5435  979.6042  992.6650
 [29,]  925.0781  938.3325  951.5870  964.8414  978.0958  991.3503 1004.6047
 [30,]  936.1525  949.6006  963.0488  976.4969  989.9450 1003.3931 1016.8412
 [31,]  947.5238  961.1655  974.8073  988.4491 1002.0909 1015.7327 1029.3745
 [32,]  959.1918  973.0272  986.8627 1000.6981 1014.5336 1028.3690 1042.2045
 [33,]  971.1566  985.1857  999.2148 1013.2439 1027.2731 1041.3022 1055.3313
 [34,]  983.4181  997.6409 1011.8637 1026.0865 1040.3093 1054.5321 1068.7549
 [35,]  995.9765 1010.3930 1024.8094 1039.2259 1053.6423 1068.0588 1082.4753
 [36,] 1008.8316 1023.4418 1038.0519 1052.6620 1067.2722 1081.8823 1096.4924
 [37,] 1021.9835 1036.7873 1051.5911 1066.3949 1081.1987 1096.0025 1110.8063
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 [40,] 1063.2199 1078.6047 1093.9895 1109.3744 1124.7592 1140.1440 1155.5288
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 [42,] 1092.1947 1107.9669 1123.7390 1139.5112 1155.2833 1171.0555 1186.8277
 [43,] 1107.1273 1123.0931 1139.0590 1155.0248 1170.9906 1186.9564 1202.9223
 [44,] 1122.3567 1138.5162 1154.6756 1170.8351 1186.9946 1203.1541 1219.3136
 [45,] 1137.8828 1154.2360 1170.5891 1186.9423 1203.2954 1219.6486 1236.0018
 [46,] 1153.7057 1170.2525 1186.7994 1203.3462 1219.8930 1236.4399 1252.9867
 [47,] 1169.8254 1186.5659 1203.3064 1220.0469 1236.7874 1253.5279 1270.2684
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 [49,] 1202.9551 1220.0829 1237.2108 1254.3386 1271.4665 1288.5943 1305.7222
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 [51,] 1237.2719 1254.7871 1272.3023 1289.8175 1307.3327 1324.8479 1342.3630
 [52,] 1254.8755 1272.5843 1290.2932 1308.0021 1325.7109 1343.4198 1361.1286
 [53,] 1272.7758 1290.6784 1308.5809 1326.4834 1344.3860 1362.2885 1380.1910
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 [55,] 1309.4669 1327.7568 1346.0466 1364.3365 1382.6264 1400.9162 1419.2061
 [56,] 1328.2576 1346.7411 1365.2247 1383.7082 1402.1917 1420.6753 1439.1588
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 [58,] 1366.7293 1385.6002 1404.4711 1423.3419 1442.2128 1461.0837 1479.9546
 [59,] 1386.4103 1405.4749 1424.5394 1443.6040 1462.6685 1481.7331 1500.7976
 [60,] 1406.3881 1425.6463 1444.9046 1464.1628 1483.4210 1502.6792 1521.9374
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 [64,] 1489.2671 1509.3000 1529.3329 1549.3658 1569.3987 1589.4316 1609.4645
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 [69,] 1599.5434 1620.5446 1641.5459 1662.5471 1683.5484 1704.5496 1725.5509
 [70,] 1622.4889 1643.6839 1664.8788 1686.0737 1707.2686 1728.4636 1749.6585
 [71,] 1645.7313 1667.1199 1688.5085 1709.8971 1731.2857 1752.6743 1774.0629
 [72,] 1669.2704 1690.8527 1712.4350 1734.0172 1755.5995 1777.1818 1798.7640
 [73,] 1693.1064 1714.8823 1736.6582 1758.4342 1780.2101 1801.9860 1823.7620
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 [76,] 1766.3948 1788.7517 1811.1087 1833.4656 1855.8226 1878.1795 1900.5365
 [77,] 1791.4178 1813.9684 1836.5191 1859.0697 1881.6203 1904.1709 1926.7215
 [78,] 1816.7376 1839.4819 1862.2262 1884.9705 1907.7148 1930.4591 1953.2034
 [79,] 1842.3542 1865.2922 1888.2301 1911.1681 1934.1060 1957.0440 1979.9820
 [80,] 1868.2676 1891.3992 1914.5308 1937.6625 1960.7941 1983.9257 2007.0573
 [81,] 1894.4777 1917.8030 1941.1283 1964.4536 1987.7789 2011.1042 2034.4295
 [82,] 1920.9847 1944.5036 1968.0226 1991.5416 2015.0605 2038.5795 2062.0985
 [83,] 1947.7884 1971.5010 1995.2136 2018.9263 2042.6389 2066.3515 2090.0642
 [84,] 1974.8888 1998.7951 2022.7014 2046.6078 2070.5141 2094.4204 2118.3267
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           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
  [1,]  790.3069  798.1385  805.9702  813.8019  821.6335  829.4652  837.2969
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 [16,]  883.2740  894.0107  904.7475  915.4842  926.2209  936.9576  947.6944
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 [24,]  960.1601  972.4462  984.7323  997.0183 1009.3044 1021.5905 1033.8766
 [25,]  971.1063  983.5861  996.0659 1008.5456 1021.0254 1033.5051 1045.9849
 [26,]  982.3494  995.0228 1007.6962 1020.3697 1033.0431 1045.7165 1058.3899
 [27,]  993.8892 1006.7563 1019.6234 1032.4905 1045.3576 1058.2247 1071.0918
 [28,] 1005.7258 1018.7866 1031.8473 1044.9081 1057.9689 1071.0296 1084.0904
 [29,] 1017.8592 1031.1136 1044.3680 1057.6225 1070.8769 1084.1314 1097.3858
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 [32,] 1056.0399 1069.8754 1083.7108 1097.5463 1111.3817 1125.2172 1139.0527
 [33,] 1069.3604 1083.3896 1097.4187 1111.4478 1125.4769 1139.5060 1153.5352
 [34,] 1082.9777 1097.2005 1111.4233 1125.6461 1139.8689 1154.0917 1168.3144
 [35,] 1096.8917 1111.3082 1125.7247 1140.1411 1154.5576 1168.9740 1183.3905
 [36,] 1111.1026 1125.7127 1140.3228 1154.9330 1169.5431 1184.1532 1198.7633
 [37,] 1125.6102 1140.4140 1155.2178 1170.0216 1184.8254 1199.6292 1214.4330
 [38,] 1140.4145 1155.4120 1170.4095 1185.4069 1200.4044 1215.4019 1230.3994
 [39,] 1155.5157 1170.7068 1185.8980 1201.0891 1216.2803 1231.4714 1246.6625
 [40,] 1170.9136 1186.2984 1201.6832 1217.0681 1232.4529 1247.8377 1263.2225
 [41,] 1186.6083 1202.1868 1217.7653 1233.3438 1248.9223 1264.5007 1280.0792
 [42,] 1202.5998 1218.3720 1234.1441 1249.9163 1265.6884 1281.4606 1297.2327
 [43,] 1218.8881 1234.8539 1250.8197 1266.7856 1282.7514 1298.7172 1314.6830
 [44,] 1235.4731 1251.6326 1267.7921 1283.9516 1300.1111 1316.2706 1332.4301
 [45,] 1252.3549 1268.7081 1285.0613 1301.4144 1317.7676 1334.1208 1350.4739
 [46,] 1269.5335 1286.0804 1302.6272 1319.1741 1335.7209 1352.2677 1368.8146
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 [49,] 1322.8500 1339.9779 1357.1057 1374.2336 1391.3614 1408.4893 1425.6171
 [50,] 1341.2157 1358.5373 1375.8588 1393.1803 1410.5018 1427.8233 1445.1448
 [51,] 1359.8782 1377.3934 1394.9086 1412.4238 1429.9390 1447.4542 1464.9694
 [52,] 1378.8375 1396.5464 1414.2552 1431.9641 1449.6729 1467.3818 1485.0906
 [53,] 1398.0935 1415.9961 1433.8986 1451.8011 1469.7037 1487.6062 1505.5087
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 [62,] 1584.7530 1604.3986 1624.0441 1643.6897 1663.3352 1682.9808 1702.6264
 [63,] 1606.9768 1626.8161 1646.6553 1666.4945 1686.3337 1706.1730 1726.0122
 [64,] 1629.4974 1649.5303 1669.5632 1689.5961 1709.6290 1729.6619 1749.6948
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 [67,] 1698.8399 1719.4538 1740.0677 1760.6817 1781.2956 1801.9095 1822.5234
 [68,] 1722.5476 1743.3552 1764.1628 1784.9704 1805.7780 1826.5856 1847.3931
 [69,] 1746.5521 1767.5534 1788.5546 1809.5559 1830.5572 1851.5584 1872.5597
 [70,] 1770.8534 1792.0483 1813.2433 1834.4382 1855.6331 1876.8280 1898.0230
 [71,] 1795.4515 1816.8401 1838.2287 1859.6173 1881.0058 1902.3944 1923.7830
 [72,] 1820.3463 1841.9286 1863.5108 1885.0931 1906.6754 1928.2576 1949.8399
 [73,] 1845.5379 1867.3138 1889.0898 1910.8657 1932.6417 1954.4176 1976.1935
 [74,] 1871.0263 1892.9959 1914.9655 1936.9351 1958.9047 1980.8743 2002.8439
 [75,] 1896.8115 1918.9747 1941.1380 1963.3013 1985.4646 2007.6278 2029.7911
 [76,] 1922.8934 1945.2504 1967.6073 1989.9643 2012.3212 2034.6781 2057.0351
 [77,] 1949.2721 1971.8228 1994.3734 2016.9240 2039.4746 2062.0252 2084.5758
 [78,] 1975.9476 1998.6919 2021.4362 2044.1805 2066.9248 2089.6691 2112.4134
 [79,] 2002.9199 2025.8579 2048.7958 2071.7338 2094.6717 2117.6097 2140.5477
 [80,] 2030.1890 2053.3206 2076.4522 2099.5839 2122.7155 2145.8471 2168.9787
 [81,] 2057.7548 2081.0801 2104.4054 2127.7307 2151.0560 2174.3813 2197.7066
 [82,] 2085.6174 2109.1364 2132.6554 2156.1743 2179.6933 2203.2123 2226.7312
 [83,] 2113.7768 2137.4895 2161.2021 2184.9147 2208.6274 2232.3400 2256.0526
 [84,] 2142.2330 2166.1393 2190.0456 2213.9519 2237.8582 2261.7645 2285.6708
 [85,] 2170.9859 2195.0859 2219.1859 2243.2859 2267.3859 2291.4858 2315.5858
 [86,] 2200.0357 2224.3293 2248.6230 2272.9166 2297.2103 2321.5039 2345.7976
 [87,] 2229.3822 2253.8695 2278.3568 2302.8441 2327.3314 2351.8188 2376.3061
 [88,] 2259.0255 2283.7064 2308.3874 2333.0684 2357.7494 2382.4304 2407.1114
 [89,] 2288.9655 2313.8402 2338.7148 2363.5895 2388.4642 2413.3388 2438.2135
 [90,] 2319.2024 2344.2707 2369.3390 2394.4073 2419.4757 2444.5440 2469.6123
 [91,] 2349.7360 2374.9980 2400.2600 2425.5220 2450.7840 2476.0460 2501.3080
 [92,] 2380.5664 2406.0220 2431.4777 2456.9334 2482.3891 2507.8447 2533.3004
 [93,] 2411.6935 2437.3429 2462.9922 2488.6416 2514.2909 2539.9402 2565.5896
 [94,] 2443.1175 2468.9605 2494.8035 2520.6465 2546.4895 2572.3325 2598.1756
 [95,] 2474.8382 2500.8749 2526.9116 2552.9483 2578.9849 2605.0216 2631.0583
 [96,] 2506.8557 2533.0861 2559.3164 2585.5468 2611.7771 2638.0075 2664.2378
 [97,] 2539.1700 2565.5940 2592.0181 2618.4421 2644.8661 2671.2901 2697.7142
 [98,] 2571.7811 2598.3988 2625.0165 2651.6342 2678.2519 2704.8695 2731.4872
 [99,] 2604.6889 2631.5003 2658.3116 2685.1230 2711.9344 2738.7457 2765.5571
           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
  [1,]  845.1285  852.9602  860.7919  868.6236  876.4552  884.2869  892.1186
  [2,]  850.6046  858.6299  866.6553  874.6806  882.7060  890.7313  898.7567
  [3,]  856.3774  864.5965  872.8155  881.0345  889.2535  897.4725  905.6915
  [4,]  862.4471  870.8597  879.2724  887.6851  896.0978  904.5105  912.9231
  [5,]  868.8134  877.4198  886.0261  894.6325  903.2388  911.8452  920.4516
  [6,]  875.4766  884.2766  893.0767  901.8767  910.6767  919.4767  928.2767
  [7,]  882.4366  891.4302  900.4239  909.4176  918.4113  927.4050  936.3987
  [8,]  889.6933  898.8806  908.0680  917.2554  926.4427  935.6301  944.8175
  [9,]  897.2468  906.6278  916.0088  925.3899  934.7709  944.1519  953.5330
 [10,]  905.0971  914.6718  924.2465  933.8212  943.3959  952.9706  962.5453
 [11,]  913.2441  923.0125  932.7809  942.5492  952.3176  962.0860  971.8544
 [12,]  921.6880  931.6500  941.6120  951.5741  961.5361  971.4982  981.4602
 [13,]  930.4286  940.5843  950.7400  960.8957  971.0514  981.2071  991.3629
 [14,]  939.4660  949.8154  960.1647  970.5141  980.8635  991.2129 1001.5623
 [15,]  948.8001  959.3432  969.8862  980.4293  990.9724 1001.5154 1012.0585
 [16,]  958.4311  969.1678  979.9045  990.6413 1001.3780 1012.1147 1022.8514
 [17,]  968.3588  979.2892  990.2196 1001.1500 1012.0804 1023.0108 1033.9412
 [18,]  978.5833  989.7074 1000.8315 1011.9555 1023.0796 1034.2037 1045.3277
 [19,]  989.1046 1000.4223 1011.7401 1023.0578 1034.3756 1045.6933 1057.0110
 [20,]  999.9227 1011.4341 1022.9455 1034.4569 1045.9683 1057.4797 1068.9911
 [21,] 1011.0375 1022.7426 1034.4477 1046.1527 1057.8578 1069.5629 1081.2680
 [22,] 1022.4491 1034.3479 1046.2466 1058.1454 1070.0441 1081.9429 1093.8416
 [23,] 1034.1575 1046.2499 1058.3424 1070.4348 1082.5272 1094.6196 1106.7120
 [24,] 1046.1627 1058.4488 1070.7349 1083.0210 1095.3070 1107.5931 1119.8792
 [25,] 1058.4646 1070.9444 1083.4242 1095.9039 1108.3837 1120.8634 1133.3432
 [26,] 1071.0634 1083.7368 1096.4102 1109.0837 1121.7571 1134.4305 1147.1040
 [27,] 1083.9589 1096.8260 1109.6931 1122.5602 1135.4273 1148.2944 1161.1615
 [28,] 1097.1512 1110.2119 1123.2727 1136.3335 1149.3943 1162.4550 1175.5158
 [29,] 1110.6402 1123.8947 1137.1491 1150.4036 1163.6580 1176.9124 1190.1669
 [30,] 1124.4261 1137.8742 1151.3223 1164.7704 1178.2185 1191.6666 1205.1147
 [31,] 1138.5087 1152.1505 1165.7923 1179.4340 1193.0758 1206.7176 1220.3594
 [32,] 1152.8881 1166.7236 1180.5590 1194.3945 1208.2299 1222.0654 1235.9008
 [33,] 1167.5643 1181.5934 1195.6225 1209.6516 1223.6808 1237.7099 1251.7390
 [34,] 1182.5372 1196.7600 1210.9828 1225.2056 1239.4284 1253.6512 1267.8740
 [35,] 1197.8070 1212.2234 1226.6399 1241.0564 1255.4728 1269.8893 1284.3057
 [36,] 1213.3735 1227.9836 1242.5937 1257.2039 1271.8140 1286.4241 1301.0343
 [37,] 1229.2368 1244.0406 1258.8444 1273.6482 1288.4520 1303.2558 1318.0596
 [38,] 1245.3968 1260.3943 1275.3918 1290.3893 1305.3867 1320.3842 1335.3817
 [39,] 1261.8537 1277.0448 1292.2360 1307.4271 1322.6183 1337.8094 1353.0005
 [40,] 1278.6073 1293.9921 1309.3769 1324.7618 1340.1466 1355.5314 1370.9162
 [41,] 1295.6577 1311.2362 1326.8147 1342.3932 1357.9717 1373.5501 1389.1286
 [42,] 1313.0049 1328.7771 1344.5492 1360.3214 1376.0935 1391.8657 1407.6378
 [43,] 1330.6489 1346.6147 1362.5805 1378.5463 1394.5122 1410.4780 1426.4438
 [44,] 1348.5896 1364.7491 1380.9086 1397.0681 1413.2276 1429.3871 1445.5466
 [45,] 1366.8271 1383.1803 1399.5334 1415.8866 1432.2398 1448.5929 1464.9461
 [46,] 1385.3614 1401.9082 1418.4551 1435.0019 1451.5487 1468.0956 1484.6424
 [47,] 1404.1925 1420.9330 1437.6735 1454.4140 1471.1545 1487.8950 1504.6355
 [48,] 1423.3203 1440.2545 1457.1887 1474.1229 1491.0570 1507.9912 1524.9254
 [49,] 1442.7449 1459.8728 1477.0006 1494.1285 1511.2563 1528.3842 1545.5120
 [50,] 1462.4664 1479.7879 1497.1094 1514.4309 1531.7524 1549.0739 1566.3955
 [51,] 1482.4845 1499.9997 1517.5149 1535.0301 1552.5453 1570.0605 1587.5757
 [52,] 1502.7995 1520.5084 1538.2172 1555.9261 1573.6349 1591.3438 1609.0527
 [53,] 1523.4112 1541.3138 1559.2163 1577.1188 1595.0214 1612.9239 1630.8264
 [54,] 1544.3198 1562.4160 1580.5122 1598.6084 1616.7046 1634.8008 1652.8970
 [55,] 1565.5251 1583.8149 1602.1048 1620.3947 1638.6845 1656.9744 1675.2643
 [56,] 1587.0271 1605.5107 1623.9942 1642.4778 1660.9613 1679.4448 1697.9284
 [57,] 1608.8260 1627.5032 1646.1804 1664.8576 1683.5348 1702.2120 1720.8892
 [58,] 1630.9216 1649.7925 1668.6634 1687.5343 1706.4051 1725.2760 1744.1469
 [59,] 1653.3140 1672.3786 1691.4431 1710.5077 1729.5722 1748.6368 1767.7013
 [60,] 1676.0032 1695.2614 1714.5197 1733.7779 1753.0361 1772.2943 1791.5525
 [61,] 1698.9892 1718.4411 1737.8930 1757.3449 1776.7967 1796.2486 1815.7005
 [62,] 1722.2719 1741.9175 1761.5630 1781.2086 1800.8542 1820.4997 1840.1453
 [63,] 1745.8514 1765.6907 1785.5299 1805.3691 1825.2084 1845.0476 1864.8868
 [64,] 1769.7277 1789.7606 1809.7935 1829.8265 1849.8594 1869.8923 1889.9252
 [65,] 1793.9008 1814.1274 1834.3540 1854.5805 1874.8071 1895.0337 1915.2603
 [66,] 1818.3707 1838.7909 1859.2112 1879.6314 1900.0516 1920.4719 1940.8921
 [67,] 1843.1373 1863.7512 1884.3651 1904.9791 1925.5930 1946.2069 1966.8208
 [68,] 1868.2007 1889.0083 1909.8159 1930.6235 1951.4311 1972.2386 1993.0462
 [69,] 1893.5609 1914.5622 1935.5634 1956.5647 1977.5659 1998.5672 2019.5684
 [70,] 1919.2179 1940.4128 1961.6077 1982.8027 2003.9976 2025.1925 2046.3874
 [71,] 1945.1716 1966.5602 1987.9488 2009.3374 2030.7260 2052.1146 2073.5032
 [72,] 1971.4222 1993.0044 2014.5867 2036.1690 2057.7512 2079.3335 2100.9157
 [73,] 1997.9695 2019.7454 2041.5213 2063.2973 2085.0732 2106.8491 2128.6251
 [74,] 2024.8135 2046.7831 2068.7528 2090.7224 2112.6920 2134.6616 2156.6312
 [75,] 2051.9544 2074.1177 2096.2810 2118.4442 2140.6075 2162.7708 2184.9341
 [76,] 2079.3920 2101.7490 2124.1059 2146.4629 2168.8198 2191.1768 2213.5337
 [77,] 2107.1265 2129.6771 2152.2277 2174.7783 2197.3289 2219.8795 2242.4302
 [78,] 2135.1576 2157.9019 2180.6462 2203.3905 2226.1348 2248.8791 2271.6234
 [79,] 2163.4856 2186.4236 2209.3615 2232.2995 2255.2374 2278.1754 2301.1134
 [80,] 2192.1104 2215.2420 2238.3736 2261.5053 2284.6369 2307.7685 2330.9001
 [81,] 2221.0319 2244.3572 2267.6825 2291.0078 2314.3331 2337.6584 2360.9837
 [82,] 2250.2502 2273.7692 2297.2881 2320.8071 2344.3261 2367.8450 2391.3640
 [83,] 2279.7653 2303.4779 2327.1906 2350.9032 2374.6158 2398.3285 2422.0411
 [84,] 2309.5772 2333.4835 2357.3898 2381.2961 2405.2024 2429.1087 2453.0150
 [85,] 2339.6858 2363.7858 2387.8857 2411.9857 2436.0857 2460.1857 2484.2857
 [86,] 2370.0912 2394.3849 2418.6785 2442.9722 2467.2658 2491.5595 2515.8531
 [87,] 2400.7934 2425.2807 2449.7680 2474.2554 2498.7427 2523.2300 2547.7173
 [88,] 2431.7924 2456.4734 2481.1544 2505.8354 2530.5163 2555.1973 2579.8783
 [89,] 2463.0881 2487.9628 2512.8375 2537.7121 2562.5868 2587.4614 2612.3361
 [90,] 2494.6807 2519.7490 2544.8173 2569.8857 2594.9540 2620.0223 2645.0907
 [91,] 2526.5700 2551.8320 2577.0940 2602.3560 2627.6180 2652.8800 2678.1420
 [92,] 2558.7561 2584.2117 2609.6674 2635.1231 2660.5788 2686.0344 2711.4901
 [93,] 2591.2389 2616.8883 2642.5376 2668.1870 2693.8363 2719.4856 2745.1350
 [94,] 2624.0186 2649.8616 2675.7046 2701.5476 2727.3906 2753.2336 2779.0766
 [95,] 2657.0950 2683.1317 2709.1684 2735.2050 2761.2417 2787.2784 2813.3151
 [96,] 2690.4682 2716.6985 2742.9289 2769.1593 2795.3896 2821.6200 2847.8503
 [97,] 2724.1382 2750.5622 2776.9862 2803.4102 2829.8343 2856.2583 2882.6823
 [98,] 2758.1049 2784.7226 2811.3403 2837.9580 2864.5757 2891.1934 2917.8111
 [99,] 2792.3685 2819.1798 2845.9912 2872.8026 2899.6139 2926.4253 2953.2366
           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
  [1,]  899.9502  907.7819  915.6136  923.4453  931.2769  939.1086  946.9403
  [2,]  906.7820  914.8073  922.8327  930.8580  938.8834  946.9087  954.9340
  [3,]  913.9105  922.1295  930.3485  938.5676  946.7866  955.0056  963.2246
  [4,]  921.3358  929.7485  938.1612  946.5739  954.9866  963.3992  971.8119
  [5,]  929.0579  937.6643  946.2706  954.8770  963.4833  972.0897  980.6960
  [6,]  937.0768  945.8768  954.6768  963.4768  972.2769  981.0769  989.8769
  [7,]  945.3924  954.3861  963.3798  972.3735  981.3672  990.3609  999.3546
  [8,]  954.0048  963.1922  972.3795  981.5669  990.7543  999.9416 1009.1290
  [9,]  962.9140  972.2951  981.6761  991.0571 1000.4382 1009.8192 1019.2002
 [10,]  972.1200  981.6947  991.2694 1000.8441 1010.4188 1019.9935 1029.5682
 [11,]  981.6227  991.3911 1001.1595 1010.9279 1020.6962 1030.4646 1040.2330
 [12,]  991.4223 1001.3843 1011.3464 1021.3084 1031.2704 1041.2325 1051.1945
 [13,] 1001.5186 1011.6743 1021.8300 1031.9857 1042.1414 1052.2972 1062.4529
 [14,] 1011.9117 1022.2610 1032.6104 1042.9598 1053.3092 1063.6586 1074.0080
 [15,] 1022.6015 1033.1446 1043.6876 1054.2307 1064.7737 1075.3168 1085.8599
 [16,] 1033.5882 1044.3249 1055.0616 1065.7983 1076.5351 1087.2718 1098.0085
 [17,] 1044.8716 1055.8020 1066.7324 1077.6628 1088.5932 1099.5236 1110.4540
 [18,] 1056.4518 1067.5759 1078.6999 1089.8240 1100.9481 1112.0721 1123.1962
 [19,] 1068.3288 1079.6465 1090.9642 1102.2820 1113.5997 1124.9174 1136.2352
 [20,] 1080.5025 1092.0139 1103.5253 1115.0367 1126.5481 1138.0596 1149.5710
 [21,] 1092.9730 1104.6781 1116.3832 1128.0883 1139.7934 1151.4984 1163.2035
 [22,] 1105.7404 1117.6391 1129.5379 1141.4366 1153.3354 1165.2341 1177.1328
 [23,] 1118.8044 1130.8969 1142.9893 1155.0817 1167.1741 1179.2665 1191.3590
 [24,] 1132.1653 1144.4514 1156.7375 1169.0236 1181.3097 1193.5958 1205.8818
 [25,] 1145.8230 1158.3027 1170.7825 1183.2622 1195.7420 1208.2218 1220.7015
 [26,] 1159.7774 1172.4508 1185.1242 1197.7977 1210.4711 1223.1445 1235.8180
 [27,] 1174.0286 1186.8957 1199.7628 1212.6299 1225.4970 1238.3641 1251.2312
 [28,] 1188.5766 1201.6373 1214.6981 1227.7589 1240.8196 1253.8804 1266.9412
 [29,] 1203.4213 1216.6758 1229.9302 1243.1846 1256.4391 1269.6935 1282.9480
 [30,] 1218.5629 1232.0110 1245.4591 1258.9072 1272.3553 1285.8034 1299.2515
 [31,] 1234.0012 1247.6430 1261.2847 1274.9265 1288.5683 1302.2101 1315.8519
 [32,] 1249.7363 1263.5717 1277.4072 1291.2426 1305.0781 1318.9135 1332.7490
 [33,] 1265.7681 1279.7973 1293.8264 1307.8555 1321.8846 1335.9137 1349.9429
 [34,] 1282.0968 1296.3196 1310.5424 1324.7652 1338.9879 1353.2107 1367.4335
 [35,] 1298.7222 1313.1387 1327.5551 1341.9716 1356.3881 1370.8045 1385.2210
 [36,] 1315.6444 1330.2545 1344.8647 1359.4748 1374.0849 1388.6951 1403.3052
 [37,] 1332.8634 1347.6672 1362.4710 1377.2748 1392.0786 1406.8824 1421.6862
 [38,] 1350.3792 1365.3766 1380.3741 1395.3716 1410.3690 1425.3665 1440.3640
 [39,] 1368.1917 1383.3828 1398.5740 1413.7651 1428.9563 1444.1474 1459.3386
 [40,] 1386.3010 1401.6858 1417.0706 1432.4555 1447.8403 1463.2251 1478.6099
 [41,] 1404.7071 1420.2856 1435.8641 1451.4426 1467.0210 1482.5995 1498.1780
 [42,] 1423.4100 1439.1821 1454.9543 1470.7264 1486.4986 1502.2708 1518.0429
 [43,] 1442.4096 1458.3755 1474.3413 1490.3071 1506.2729 1522.2388 1538.2046
 [44,] 1461.7061 1477.8656 1494.0251 1510.1845 1526.3440 1542.5035 1558.6630
 [45,] 1481.2993 1497.6524 1514.0056 1530.3588 1546.7119 1563.0651 1579.4183
 [46,] 1501.1893 1517.7361 1534.2829 1550.8298 1567.3766 1583.9234 1600.4703
 [47,] 1521.3760 1538.1165 1554.8570 1571.5975 1588.3380 1605.0785 1621.8191
 [48,] 1541.8596 1558.7937 1575.7279 1592.6621 1609.5963 1626.5304 1643.4646
 [49,] 1562.6399 1579.7677 1596.8956 1614.0234 1631.1513 1648.2791 1665.4070
 [50,] 1583.7170 1601.0385 1618.3600 1635.6815 1653.0030 1670.3246 1687.6461
 [51,] 1605.0909 1622.6060 1640.1212 1657.6364 1675.1516 1692.6668 1710.1820
 [52,] 1626.7615 1644.4704 1662.1792 1679.8881 1697.5969 1715.3058 1733.0147
 [53,] 1648.7289 1666.6315 1684.5340 1702.4365 1720.3391 1738.2416 1756.1441
 [54,] 1670.9932 1689.0894 1707.1855 1725.2817 1743.3779 1761.4741 1779.5703
 [55,] 1693.5541 1711.8440 1730.1339 1748.4237 1766.7136 1785.0035 1803.2934
 [56,] 1716.4119 1734.8954 1753.3790 1771.8625 1790.3461 1808.8296 1827.3131
 [57,] 1739.5665 1758.2437 1776.9209 1795.5981 1814.2753 1832.9525 1851.6297
 [58,] 1763.0178 1781.8887 1800.7595 1819.6304 1838.5013 1857.3722 1876.2431
 [59,] 1786.7659 1805.8304 1824.8950 1843.9595 1863.0241 1882.0886 1901.1532
 [60,] 1810.8108 1830.0690 1849.3272 1868.5854 1887.8436 1907.1019 1926.3601
 [61,] 1835.1524 1854.6043 1874.0562 1893.5081 1912.9600 1932.4119 1951.8638
 [62,] 1859.7909 1879.4364 1899.0820 1918.7275 1938.3731 1958.0187 1977.6642
 [63,] 1884.7261 1904.5653 1924.4045 1944.2438 1964.0830 1983.9222 2003.7615
 [64,] 1909.9581 1929.9910 1950.0239 1970.0568 1990.0897 2010.1226 2030.1555
 [65,] 1935.4868 1955.7134 1975.9400 1996.1665 2016.3931 2036.6197 2056.8463
 [66,] 1961.3124 1981.7326 2002.1529 2022.5731 2042.9933 2063.4136 2083.8338
 [67,] 1987.4347 2008.0486 2028.6625 2049.2764 2069.8904 2090.5043 2111.1182
 [68,] 2013.8538 2034.6614 2055.4690 2076.2766 2097.0841 2117.8917 2138.6993
 [69,] 2040.5697 2061.5709 2082.5722 2103.5735 2124.5747 2145.5760 2166.5772
 [70,] 2067.5824 2088.7773 2109.9722 2131.1671 2152.3620 2173.5570 2194.7519
 [71,] 2094.8918 2116.2804 2137.6690 2159.0576 2180.4462 2201.8348 2223.2234
 [72,] 2122.4980 2144.0803 2165.6625 2187.2448 2208.8271 2230.4093 2251.9916
 [73,] 2150.4010 2172.1769 2193.9529 2215.7288 2237.5047 2259.2807 2281.0566
 [74,] 2178.6008 2200.5704 2222.5400 2244.5096 2266.4792 2288.4488 2310.4184
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           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]    [,42]
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 [53,] 1774.0466 1791.9492 1809.8517 1827.7542 1845.6568 1863.5593 1881.462
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 [57,] 1870.3069 1888.9841 1907.6613 1926.3386 1945.0158 1963.6930 1982.370
 [58,] 1895.1139 1913.9848 1932.8557 1951.7266 1970.5975 1989.4683 2008.339
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 [60,] 1945.6183 1964.8765 1984.1347 2003.3930 2022.6512 2041.9094 2061.168
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          [,43]    [,44]    [,45]    [,46]    [,47]    [,48]    [,49]    [,50]
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  [9,] 1094.248 1103.630 1113.011 1122.392 1131.773 1141.154 1150.535 1159.916
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 [37,] 1540.117 1554.920 1569.724 1584.528 1599.332 1614.136 1628.939 1643.743
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 [44,] 1687.939 1704.098 1720.258 1736.417 1752.577 1768.736 1784.896 1801.055
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 [46,] 1732.845 1749.392 1765.939 1782.485 1799.032 1815.579 1832.126 1848.673
 [47,] 1755.743 1772.484 1789.224 1805.965 1822.705 1839.446 1856.186 1872.927
 [48,] 1778.938 1795.872 1812.806 1829.741 1846.675 1863.609 1880.543 1897.477
 [49,] 1802.430 1819.558 1836.685 1853.813 1870.941 1888.069 1905.197 1922.325
 [50,] 1826.218 1843.540 1860.861 1878.183 1895.504 1912.826 1930.147 1947.469
 [51,] 1850.303 1867.819 1885.334 1902.849 1920.364 1937.879 1955.395 1972.910
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 [55,] 1949.612 1967.902 1986.192 2004.482 2022.772 2041.062 2059.352 2077.641
 [56,] 1975.181 1993.665 2012.149 2030.632 2049.116 2067.599 2086.083 2104.566
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 [65,] 2218.659 2238.885 2259.112 2279.339 2299.565 2319.792 2340.018 2360.245
 [66,] 2247.196 2267.616 2288.036 2308.457 2328.877 2349.297 2369.717 2390.137
 [67,] 2276.029 2296.643 2317.257 2337.871 2358.485 2379.099 2399.713 2420.327
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 [69,] 2334.587 2355.588 2376.590 2397.591 2418.592 2439.594 2460.595 2481.596
 [70,] 2364.311 2385.506 2406.701 2427.896 2449.091 2470.286 2491.481 2512.676
 [71,] 2394.332 2415.721 2437.109 2458.498 2479.886 2501.275 2522.664 2544.052
 [72,] 2424.650 2446.232 2467.814 2489.397 2510.979 2532.561 2554.143 2575.726
 [73,] 2455.264 2477.040 2498.816 2520.592 2542.368 2564.144 2585.920 2607.696
 [74,] 2486.175 2508.145 2530.114 2552.084 2574.054 2596.023 2617.993 2639.962
 [75,] 2517.383 2539.546 2561.710 2583.873 2606.036 2628.200 2650.363 2672.526
 [76,] 2548.888 2571.245 2593.602 2615.959 2638.316 2660.673 2683.030 2705.387
 [77,] 2580.689 2603.240 2625.791 2648.341 2670.892 2693.442 2715.993 2738.544
 [78,] 2612.788 2635.532 2658.276 2681.021 2703.765 2726.509 2749.253 2771.998
 [79,] 2645.183 2668.121 2691.059 2713.997 2736.935 2759.873 2782.810 2805.748
 [80,] 2677.875 2701.006 2724.138 2747.269 2770.401 2793.533 2816.664 2839.796
 [81,] 2710.863 2734.188 2757.514 2780.839 2804.164 2827.490 2850.815 2874.140
 [82,] 2744.149 2767.668 2791.186 2814.705 2838.224 2861.743 2885.262 2908.781
 [83,] 2777.731 2801.443 2825.156 2848.869 2872.581 2896.294 2920.007 2943.719
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 [85,] 2845.785 2869.885 2893.985 2918.085 2942.185 2966.285 2990.385 3014.485
 [86,] 2880.258 2904.551 2928.845 2953.139 2977.432 3001.726 3026.020 3050.313
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 [88,] 2950.093 2974.774 2999.455 3024.136 3048.817 3073.498 3098.179 3122.860
 [89,] 2985.456 3010.331 3035.205 3060.080 3084.955 3109.829 3134.704 3159.579
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          [,51]    [,52]    [,53]    [,54]    [,55]    [,56]    [,57]    [,58]
  [1,] 1072.247 1080.079 1087.910 1095.742 1103.574 1111.405 1119.237 1127.069
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  [5,] 1118.398 1127.004 1135.610 1144.217 1152.823 1161.429 1170.036 1178.642
  [6,] 1130.677 1139.477 1148.277 1157.077 1165.877 1174.677 1183.477 1192.277
  [7,] 1143.254 1152.247 1161.241 1170.235 1179.228 1188.222 1197.216 1206.210
  [8,] 1156.127 1165.314 1174.502 1183.689 1192.876 1202.064 1211.251 1220.438
  [9,] 1169.297 1178.678 1188.059 1197.440 1206.821 1216.202 1225.583 1234.964
 [10,] 1182.763 1192.338 1201.913 1211.488 1221.062 1230.637 1240.212 1249.786
 [11,] 1196.527 1206.295 1216.064 1225.832 1235.600 1245.369 1255.137 1264.906
 [12,] 1210.587 1220.549 1230.511 1240.473 1250.435 1260.397 1270.360 1280.322
 [13,] 1224.944 1235.100 1245.256 1255.411 1265.567 1275.723 1285.879 1296.034
 [14,] 1239.598 1249.948 1260.297 1270.646 1280.996 1291.345 1301.694 1312.044
 [15,] 1254.549 1265.092 1275.635 1286.178 1296.721 1307.264 1317.807 1328.350
 [16,] 1269.796 1280.533 1291.270 1302.006 1312.743 1323.480 1334.216 1344.953
 [17,] 1285.340 1296.271 1307.201 1318.131 1329.062 1339.992 1350.923 1361.853
 [18,] 1301.181 1312.305 1323.429 1334.553 1345.678 1356.802 1367.926 1379.050
 [19,] 1317.319 1328.637 1339.954 1351.272 1362.590 1373.908 1385.225 1396.543
 [20,] 1333.753 1345.265 1356.776 1368.288 1379.799 1391.311 1402.822 1414.333
 [21,] 1350.485 1362.190 1373.895 1385.600 1397.305 1409.010 1420.715 1432.420
 [22,] 1367.513 1379.412 1391.310 1403.209 1415.108 1427.007 1438.905 1450.804
 [23,] 1384.838 1396.930 1409.022 1421.115 1433.207 1445.300 1457.392 1469.485
 [24,] 1402.459 1414.745 1427.031 1439.318 1451.604 1463.890 1476.176 1488.462
 [25,] 1420.378 1432.857 1445.337 1457.817 1470.297 1482.776 1495.256 1507.736
 [26,] 1438.593 1451.266 1463.940 1476.613 1489.287 1501.960 1514.633 1527.307
 [27,] 1457.105 1469.972 1482.839 1495.706 1508.573 1521.440 1534.307 1547.174
 [28,] 1475.914 1488.974 1502.035 1515.096 1528.157 1541.217 1554.278 1567.339
 [29,] 1495.019 1508.273 1521.528 1534.782 1548.037 1561.291 1574.546 1587.800
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 [31,] 1534.120 1547.762 1561.404 1575.046 1588.687 1602.329 1615.971 1629.613
 [32,] 1554.116 1567.952 1581.787 1595.623 1609.458 1623.293 1637.129 1650.964
 [33,] 1574.409 1588.438 1602.467 1616.496 1630.525 1644.554 1658.584 1672.613
 [34,] 1594.998 1609.221 1623.444 1637.667 1651.889 1666.112 1680.335 1694.558
 [35,] 1615.884 1630.301 1644.717 1659.134 1673.550 1687.967 1702.383 1716.800
 [36,] 1637.067 1651.677 1666.288 1680.898 1695.508 1710.118 1724.728 1739.338
 [37,] 1658.547 1673.351 1688.155 1702.958 1717.762 1732.566 1747.370 1762.174
 [38,] 1680.324 1695.321 1710.319 1725.316 1740.313 1755.311 1770.308 1785.306
 [39,] 1702.397 1717.588 1732.779 1747.970 1763.161 1778.353 1793.544 1808.735
 [40,] 1724.767 1740.152 1755.537 1770.921 1786.306 1801.691 1817.076 1832.461
 [41,] 1747.434 1763.012 1778.591 1794.169 1809.748 1825.326 1840.905 1856.483
 [42,] 1770.397 1786.170 1801.942 1817.714 1833.486 1849.258 1865.030 1880.802
 [43,] 1793.658 1809.624 1825.589 1841.555 1857.521 1873.487 1889.453 1905.419
 [44,] 1817.215 1833.374 1849.534 1865.693 1881.853 1898.012 1914.172 1930.331
 [45,] 1841.069 1857.422 1873.775 1890.128 1906.482 1922.835 1939.188 1955.541
 [46,] 1865.220 1881.766 1898.313 1914.860 1931.407 1947.954 1964.501 1981.047
 [47,] 1889.667 1906.408 1923.148 1939.889 1956.629 1973.370 1990.110 2006.851
 [48,] 1914.411 1931.346 1948.280 1965.214 1982.148 1999.082 2016.017 2032.951
 [49,] 1939.453 1956.580 1973.708 1990.836 2007.964 2025.092 2042.220 2059.347
 [50,] 1964.790 1982.112 1999.433 2016.755 2034.076 2051.398 2068.719 2086.041
 [51,] 1990.425 2007.940 2025.455 2042.971 2060.486 2078.001 2095.516 2113.031
 [52,] 2016.356 2034.065 2051.774 2069.483 2087.192 2104.901 2122.610 2140.318
 [53,] 2042.585 2060.487 2078.390 2096.292 2114.195 2132.097 2150.000 2167.902
 [54,] 2069.110 2087.206 2105.302 2123.398 2141.494 2159.591 2177.687 2195.783
 [55,] 2095.931 2114.221 2132.511 2150.801 2169.091 2187.381 2205.670 2223.960
 [56,] 2123.050 2141.533 2160.017 2178.500 2196.984 2215.467 2233.951 2252.435
 [57,] 2150.465 2169.142 2187.819 2206.497 2225.174 2243.851 2262.528 2281.206
 [58,] 2178.177 2197.048 2215.919 2234.790 2253.661 2272.532 2291.402 2310.273
 [59,] 2206.186 2225.251 2244.315 2263.380 2282.444 2301.509 2320.573 2339.638
 [60,] 2234.492 2253.750 2273.008 2292.266 2311.524 2330.783 2350.041 2369.299
 [61,] 2263.094 2282.546 2301.998 2321.450 2340.902 2360.353 2379.805 2399.257
 [62,] 2291.993 2311.639 2331.284 2350.930 2370.575 2390.221 2409.867 2429.512
 [63,] 2321.189 2341.028 2360.868 2380.707 2400.546 2420.385 2440.225 2460.064
 [64,] 2350.682 2370.715 2390.748 2410.781 2430.814 2450.846 2470.879 2490.912
 [65,] 2380.471 2400.698 2420.925 2441.151 2461.378 2481.604 2501.831 2522.057
 [66,] 2410.558 2430.978 2451.398 2471.818 2492.239 2512.659 2533.079 2553.499
 [67,] 2440.941 2461.555 2482.169 2502.783 2523.396 2544.010 2564.624 2585.238
 [68,] 2471.621 2492.428 2513.236 2534.043 2554.851 2575.659 2596.466 2617.274
 [69,] 2502.597 2523.599 2544.600 2565.601 2586.602 2607.604 2628.605 2649.606
 [70,] 2533.871 2555.066 2576.261 2597.455 2618.650 2639.845 2661.040 2682.235
 [71,] 2565.441 2586.829 2608.218 2629.607 2650.995 2672.384 2693.772 2715.161
 [72,] 2597.308 2618.890 2640.472 2662.055 2683.637 2705.219 2726.801 2748.384
 [73,] 2629.472 2651.248 2673.023 2694.799 2716.575 2738.351 2760.127 2781.903
 [74,] 2661.932 2683.902 2705.871 2727.841 2749.811 2771.780 2793.750 2815.719
 [75,] 2694.689 2716.853 2739.016 2761.179 2783.342 2805.506 2827.669 2849.832
 [76,] 2727.743 2750.100 2772.457 2794.814 2817.171 2839.528 2861.885 2884.242
 [77,] 2761.094 2783.645 2806.196 2828.746 2851.297 2873.847 2896.398 2918.949
 [78,] 2794.742 2817.486 2840.231 2862.975 2885.719 2908.463 2931.208 2953.952
 [79,] 2828.686 2851.624 2874.562 2897.500 2920.438 2943.376 2966.314 2989.252
 [80,] 2862.928 2886.059 2909.191 2932.322 2955.454 2978.586 3001.717 3024.849
 [81,] 2897.466 2920.791 2944.116 2967.441 2990.767 3014.092 3037.417 3060.743
 [82,] 2932.300 2955.819 2979.338 3002.857 3026.376 3049.895 3073.414 3096.933
 [83,] 2967.432 2991.144 3014.857 3038.570 3062.282 3085.995 3109.708 3133.420
 [84,] 3002.860 3026.766 3050.673 3074.579 3098.485 3122.392 3146.298 3170.204
 [85,] 3038.585 3062.685 3086.785 3110.885 3134.985 3159.085 3183.185 3207.285
 [86,] 3074.607 3098.901 3123.194 3147.488 3171.782 3196.075 3220.369 3244.663
 [87,] 3110.926 3135.413 3159.900 3184.388 3208.875 3233.362 3257.850 3282.337
 [88,] 3147.541 3172.222 3196.903 3221.584 3246.265 3270.946 3295.627 3320.308
 [89,] 3184.453 3209.328 3234.203 3259.077 3283.952 3308.827 3333.701 3358.576
 [90,] 3221.662 3246.731 3271.799 3296.867 3321.936 3347.004 3372.072 3397.141
 [91,] 3259.168 3284.430 3309.692 3334.954 3360.216 3385.478 3410.740 3436.002
 [92,] 3296.971 3322.426 3347.882 3373.338 3398.793 3424.249 3449.705 3475.160
 [93,] 3335.070 3360.719 3386.369 3412.018 3437.667 3463.317 3488.966 3514.615
 [94,] 3373.466 3399.309 3425.152 3450.995 3476.838 3502.681 3528.524 3554.367
 [95,] 3412.159 3438.195 3464.232 3490.269 3516.306 3542.342 3568.379 3594.416
 [96,] 3451.148 3477.379 3503.609 3529.839 3556.070 3582.300 3608.531 3634.761
 [97,] 3490.435 3516.859 3543.283 3569.707 3596.131 3622.555 3648.979 3675.403
 [98,] 3530.018 3556.636 3583.253 3609.871 3636.489 3663.107 3689.724 3716.342
 [99,] 3569.898 3596.709 3623.521 3650.332 3677.143 3703.955 3730.766 3757.578
          [,59]    [,60]    [,61]    [,62]    [,63]    [,64]    [,65]    [,66]
  [1,] 1134.900 1142.732 1150.564 1158.395 1166.227 1174.059 1181.890 1189.722
  [2,] 1147.542 1155.568 1163.593 1171.618 1179.644 1187.669 1195.694 1203.720
  [3,] 1160.481 1168.700 1176.919 1185.138 1193.357 1201.576 1209.795 1218.014
  [4,] 1173.716 1182.129 1190.542 1198.954 1207.367 1215.780 1224.192 1232.605
  [5,] 1187.248 1195.855 1204.461 1213.068 1221.674 1230.280 1238.887 1247.493
  [6,] 1201.077 1209.877 1218.677 1227.478 1236.278 1245.078 1253.878 1262.678
  [7,] 1215.203 1224.197 1233.191 1242.184 1251.178 1260.172 1269.165 1278.159
  [8,] 1229.626 1238.813 1248.000 1257.188 1266.375 1275.563 1284.750 1293.937
  [9,] 1244.345 1253.726 1263.107 1272.488 1281.869 1291.250 1300.631 1310.012
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 [12,] 1290.284 1300.246 1310.208 1320.170 1330.132 1340.094 1350.056 1360.018
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 [14,] 1322.393 1332.743 1343.092 1353.441 1363.791 1374.140 1384.490 1394.839
 [15,] 1338.893 1349.436 1359.979 1370.522 1381.065 1391.608 1402.152 1412.695
 [16,] 1355.690 1366.427 1377.163 1387.900 1398.637 1409.374 1420.110 1430.847
 [17,] 1372.783 1383.714 1394.644 1405.575 1416.505 1427.435 1438.366 1449.296
 [18,] 1390.174 1401.298 1412.422 1423.546 1434.670 1445.794 1456.918 1468.042
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 [27,] 1560.042 1572.909 1585.776 1598.643 1611.510 1624.377 1637.244 1650.111
 [28,] 1580.400 1593.460 1606.521 1619.582 1632.643 1645.704 1658.764 1671.825
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 [32,] 1664.800 1678.635 1692.471 1706.306 1720.142 1733.977 1747.813 1761.648
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 [34,] 1708.781 1723.003 1737.226 1751.449 1765.672 1779.895 1794.117 1808.340
 [35,] 1731.216 1745.633 1760.049 1774.465 1788.882 1803.298 1817.715 1832.131
 [36,] 1753.948 1768.559 1783.169 1797.779 1812.389 1826.999 1841.609 1856.219
 [37,] 1776.977 1791.781 1806.585 1821.389 1836.193 1850.997 1865.800 1880.604
 [38,] 1800.303 1815.301 1830.298 1845.296 1860.293 1875.291 1890.288 1905.286
 [39,] 1823.926 1839.117 1854.308 1869.499 1884.691 1899.882 1915.073 1930.264
 [40,] 1847.845 1863.230 1878.615 1894.000 1909.385 1924.770 1940.154 1955.539
 [41,] 1872.062 1887.640 1903.219 1918.797 1934.376 1949.954 1965.533 1981.111
 [42,] 1896.575 1912.347 1928.119 1943.891 1959.663 1975.435 1991.208 2006.980
 [43,] 1921.384 1937.350 1953.316 1969.282 1985.248 2001.214 2017.179 2033.145
 [44,] 1946.491 1962.650 1978.810 1994.969 2011.129 2027.288 2043.448 2059.607
 [45,] 1971.894 1988.247 2004.601 2020.954 2037.307 2053.660 2070.013 2086.366
 [46,] 1997.594 2014.141 2030.688 2047.235 2063.782 2080.329 2096.875 2113.422
 [47,] 2023.591 2040.332 2057.072 2073.813 2090.553 2107.294 2124.034 2140.775
 [48,] 2049.885 2066.819 2083.753 2100.687 2117.622 2134.556 2151.490 2168.424
 [49,] 2076.475 2093.603 2110.731 2127.859 2144.987 2162.115 2179.242 2196.370
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 [51,] 2130.546 2148.062 2165.577 2183.092 2200.607 2218.122 2235.638 2253.153
 [52,] 2158.027 2175.736 2193.445 2211.154 2228.863 2246.572 2264.280 2281.989
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 [55,] 2242.250 2260.540 2278.830 2297.120 2315.410 2333.700 2351.989 2370.279
 [56,] 2270.918 2289.402 2307.885 2326.369 2344.852 2363.336 2381.819 2400.303
 [57,] 2299.883 2318.560 2337.237 2355.914 2374.592 2393.269 2411.946 2430.623
 [58,] 2329.144 2348.015 2366.886 2385.757 2404.628 2423.499 2442.369 2461.240
 [59,] 2358.702 2377.767 2396.831 2415.896 2434.961 2454.025 2473.090 2492.154
 [60,] 2388.557 2407.816 2427.074 2446.332 2465.590 2484.848 2504.107 2523.365
 [61,] 2418.709 2438.161 2457.613 2477.065 2496.517 2515.969 2535.420 2554.872
 [62,] 2449.158 2468.803 2488.449 2508.094 2527.740 2547.386 2567.031 2586.677
 [63,] 2479.903 2499.742 2519.581 2539.421 2559.260 2579.099 2598.938 2618.778
 [64,] 2510.945 2530.978 2551.011 2571.044 2591.077 2611.110 2631.143 2651.175
 [65,] 2542.284 2562.511 2582.737 2602.964 2623.190 2643.417 2663.643 2683.870
 [66,] 2573.920 2594.340 2614.760 2635.180 2655.601 2676.021 2696.441 2716.861
 [67,] 2605.852 2626.466 2647.080 2667.694 2688.308 2708.922 2729.536 2750.149
 [68,] 2638.081 2658.889 2679.696 2700.504 2721.312 2742.119 2762.927 2783.734
 [69,] 2670.607 2691.609 2712.610 2733.611 2754.612 2775.614 2796.615 2817.616
 [70,] 2703.430 2724.625 2745.820 2767.015 2788.210 2809.405 2830.600 2851.795
 [71,] 2736.550 2757.938 2779.327 2800.715 2822.104 2843.493 2864.881 2886.270
 [72,] 2769.966 2791.548 2813.130 2834.713 2856.295 2877.877 2899.460 2921.042
 [73,] 2803.679 2825.455 2847.231 2869.007 2890.783 2912.559 2934.335 2956.111
 [74,] 2837.689 2859.659 2881.628 2903.598 2925.567 2947.537 2969.507 2991.476
 [75,] 2871.996 2894.159 2916.322 2938.485 2960.649 2982.812 3004.975 3027.139
 [76,] 2906.599 2928.956 2951.313 2973.670 2996.027 3018.384 3040.741 3063.098
 [77,] 2941.499 2964.050 2986.600 3009.151 3031.702 3054.252 3076.803 3099.354
 [78,] 2976.696 2999.441 3022.185 3044.929 3067.673 3090.418 3113.162 3135.906
 [79,] 3012.190 3035.128 3058.066 3081.004 3103.942 3126.880 3149.818 3172.756
 [80,] 3047.981 3071.112 3094.244 3117.375 3140.507 3163.639 3186.770 3209.902
 [81,] 3084.068 3107.393 3130.719 3154.044 3177.369 3200.694 3224.020 3247.345
 [82,] 3120.452 3143.971 3167.490 3191.009 3214.528 3238.047 3261.566 3285.085
 [83,] 3157.133 3180.846 3204.558 3228.271 3251.983 3275.696 3299.409 3323.121
 [84,] 3194.111 3218.017 3241.923 3265.830 3289.736 3313.642 3337.548 3361.455
 [85,] 3231.385 3255.485 3279.585 3303.685 3327.785 3351.885 3375.985 3400.085
 [86,] 3268.956 3293.250 3317.544 3341.837 3366.131 3390.424 3414.718 3439.012
 [87,] 3306.824 3331.312 3355.799 3380.286 3404.774 3429.261 3453.748 3478.235
 [88,] 3344.989 3369.670 3394.351 3419.032 3443.713 3468.394 3493.075 3517.756
 [89,] 3383.451 3408.325 3433.200 3458.075 3482.949 3507.824 3532.699 3557.573
 [90,] 3422.209 3447.277 3472.346 3497.414 3522.482 3547.551 3572.619 3597.687
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          [,67]    [,68]    [,69]    [,70]    [,71]    [,72]    [,73]    [,74]
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 [12,] 1369.980 1379.942 1389.904 1399.866 1409.828 1419.790 1429.752 1439.714
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 [14,] 1405.188 1415.538 1425.887 1436.236 1446.586 1456.935 1467.285 1477.634
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 [17,] 1460.227 1471.157 1482.087 1493.018 1503.948 1514.879 1525.809 1536.739
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 [24,] 1599.037 1611.323 1623.609 1635.895 1648.181 1660.467 1672.753 1685.039
 [25,] 1620.054 1632.534 1645.013 1657.493 1669.973 1682.453 1694.932 1707.412
 [26,] 1641.368 1654.041 1666.715 1679.388 1692.061 1704.735 1717.408 1730.082
 [27,] 1662.978 1675.845 1688.713 1701.580 1714.447 1727.314 1740.181 1753.048
 [28,] 1684.886 1697.947 1711.007 1724.068 1737.129 1750.190 1763.250 1776.311
 [29,] 1707.090 1720.344 1733.599 1746.853 1760.108 1773.362 1786.617 1799.871
 [30,] 1729.591 1743.039 1756.487 1769.935 1783.384 1796.832 1810.280 1823.728
 [31,] 1752.389 1766.031 1779.672 1793.314 1806.956 1820.598 1834.240 1847.881
 [32,] 1775.483 1789.319 1803.154 1816.990 1830.825 1844.661 1858.496 1872.332
 [33,] 1798.875 1812.904 1826.933 1840.962 1854.991 1869.020 1883.049 1897.079
 [34,] 1822.563 1836.786 1851.008 1865.231 1879.454 1893.677 1907.900 1922.122
 [35,] 1846.548 1860.964 1875.381 1889.797 1904.214 1918.630 1933.047 1947.463
 [36,] 1870.829 1885.440 1900.050 1914.660 1929.270 1943.880 1958.490 1973.100
 [37,] 1895.408 1910.212 1925.016 1939.819 1954.623 1969.427 1984.231 1999.035
 [38,] 1920.283 1935.281 1950.278 1965.276 1980.273 1995.271 2010.268 2025.265
 [39,] 1945.455 1960.646 1975.837 1991.029 2006.220 2021.411 2036.602 2051.793
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 [41,] 1996.690 2012.268 2027.846 2043.425 2059.003 2074.582 2090.160 2105.739
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 [70,] 2872.989 2894.184 2915.379 2936.574 2957.769 2978.964 3000.159 3021.354
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 [76,] 3085.455 3107.812 3130.169 3152.525 3174.882 3197.239 3219.596 3241.953
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 [83,] 3346.834 3370.547 3394.259 3417.972 3441.685 3465.397 3489.110 3512.822
 [84,] 3385.361 3409.267 3433.174 3457.080 3480.986 3504.893 3528.799 3552.705
 [85,] 3424.185 3448.285 3472.385 3496.485 3520.585 3544.685 3568.785 3592.885
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 [87,] 3502.723 3527.210 3551.697 3576.185 3600.672 3625.159 3649.647 3674.134
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 [89,] 3582.448 3607.323 3632.197 3657.072 3681.946 3706.821 3731.696 3756.570
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          [,75]    [,76]    [,77]    [,78]    [,79]    [,80]    [,81]    [,82]
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  [3,] 1291.985 1300.204 1308.423 1316.642 1324.861 1333.080 1341.299 1349.518
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  [5,] 1324.950 1333.556 1342.163 1350.769 1359.376 1367.982 1376.588 1385.195
  [6,] 1341.878 1350.678 1359.478 1368.278 1377.078 1385.878 1394.678 1403.478
  [7,] 1359.102 1368.096 1377.090 1386.083 1395.077 1404.071 1413.064 1422.058
  [8,] 1376.624 1385.811 1394.998 1404.186 1413.373 1422.560 1431.748 1440.935
  [9,] 1394.442 1403.823 1413.204 1422.585 1431.966 1441.347 1450.728 1460.109
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 [18,] 1568.159 1579.283 1590.407 1601.531 1612.655 1623.779 1634.903 1646.027
 [19,] 1588.945 1600.262 1611.580 1622.898 1634.216 1645.533 1656.851 1668.169
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 [27,] 1765.915 1778.782 1791.649 1804.516 1817.384 1830.251 1843.118 1855.985
 [28,] 1789.372 1802.433 1815.494 1828.554 1841.615 1854.676 1867.737 1880.797
 [29,] 1813.126 1826.380 1839.634 1852.889 1866.143 1879.398 1892.652 1905.907
 [30,] 1837.176 1850.624 1864.072 1877.520 1890.968 1904.417 1917.865 1931.313
 [31,] 1861.523 1875.165 1888.807 1902.448 1916.090 1929.732 1943.374 1957.016
 [32,] 1886.167 1900.002 1913.838 1927.673 1941.509 1955.344 1969.180 1983.015
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 [36,] 1987.711 2002.321 2016.931 2031.541 2046.151 2060.761 2075.371 2089.981
 [37,] 2013.838 2028.642 2043.446 2058.250 2073.054 2087.857 2102.661 2117.465
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 [45,] 2233.545 2249.898 2266.251 2282.604 2298.958 2315.311 2331.664 2348.017
 [46,] 2262.344 2278.891 2295.437 2311.984 2328.531 2345.078 2361.625 2378.172
 [47,] 2291.439 2308.180 2324.920 2341.661 2358.401 2375.142 2391.882 2408.623
 [48,] 2320.832 2337.766 2354.700 2371.634 2388.568 2405.503 2422.437 2439.371
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 [57,] 2598.718 2617.395 2636.073 2654.750 2673.427 2692.104 2710.781 2729.459
 [58,] 2631.078 2649.949 2668.820 2687.691 2706.562 2725.433 2744.304 2763.174
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 [60,] 2696.689 2715.947 2735.205 2754.464 2773.722 2792.980 2812.238 2831.496
 [61,] 2729.939 2749.391 2768.843 2788.295 2807.747 2827.199 2846.651 2866.103
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 [63,] 2797.331 2817.170 2837.009 2856.848 2876.688 2896.527 2916.366 2936.205
 [64,] 2831.472 2851.504 2871.537 2891.570 2911.603 2931.636 2951.669 2971.702
 [65,] 2865.909 2886.136 2906.362 2926.589 2946.815 2967.042 2987.269 3007.495
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 [71,] 3078.767 3100.156 3121.544 3142.933 3164.322 3185.710 3207.099 3228.487
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 [74,] 3189.203 3211.172 3233.142 3255.111 3277.081 3299.051 3321.020 3342.990
 [75,] 3226.608 3248.771 3270.935 3293.098 3315.261 3337.424 3359.588 3381.751
 [76,] 3264.310 3286.667 3309.024 3331.381 3353.738 3376.095 3398.452 3420.809
 [77,] 3302.309 3324.860 3347.410 3369.961 3392.512 3415.062 3437.613 3460.163
 [78,] 3340.605 3363.349 3386.093 3408.838 3431.582 3454.326 3477.071 3499.815
 [79,] 3379.197 3402.135 3425.073 3448.011 3470.949 3493.887 3516.825 3539.763
 [80,] 3418.087 3441.218 3464.350 3487.482 3510.613 3533.745 3556.876 3580.008
 [81,] 3457.273 3480.598 3503.923 3527.249 3550.574 3573.899 3597.224 3620.550
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 [83,] 3536.535 3560.248 3583.960 3607.673 3631.386 3655.098 3678.811 3702.524
 [84,] 3576.612 3600.518 3624.424 3648.330 3672.237 3696.143 3720.049 3743.956
 [85,] 3616.985 3641.085 3665.185 3689.285 3713.385 3737.485 3761.585 3785.685
 [86,] 3657.655 3681.948 3706.242 3730.536 3754.829 3779.123 3803.417 3827.710
 [87,] 3698.621 3723.109 3747.596 3772.083 3796.571 3821.058 3845.545 3870.033
 [88,] 3739.885 3764.566 3789.247 3813.928 3838.609 3863.290 3887.971 3912.652
 [89,] 3781.445 3806.320 3831.194 3856.069 3880.944 3905.818 3930.693 3955.568
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 [91,] 3865.456 3890.718 3915.980 3941.242 3966.504 3991.766 4017.028 4042.290
 [92,] 3907.907 3933.362 3958.818 3984.274 4009.729 4035.185 4060.641 4086.096
 [93,] 3950.654 3976.303 4001.953 4027.602 4053.251 4078.901 4104.550 4130.199
 [94,] 3993.698 4019.541 4045.384 4071.227 4097.070 4122.913 4148.756 4174.599
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 [96,] 4080.677 4106.907 4133.138 4159.368 4185.598 4211.829 4238.059 4264.289
 [97,] 4124.611 4151.035 4177.459 4203.883 4230.307 4256.732 4283.156 4309.580
 [98,] 4168.843 4195.460 4222.078 4248.696 4275.313 4301.931 4328.549 4355.167
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 [43,] 2560.017
 [44,] 2592.871
 [45,] 2626.021
 [46,] 2659.468
 [47,] 2693.211
 [48,] 2727.252
 [49,] 2761.589
 [50,] 2796.223
 [51,] 2831.154
 [52,] 2866.382
 [53,] 2901.906
 [54,] 2937.727
 [55,] 2973.845
 [56,] 3010.260
 [57,] 3046.971
 [58,] 3083.979
 [59,] 3121.284
 [60,] 3158.886
 [61,] 3196.785
 [62,] 3234.980
 [63,] 3273.472
 [64,] 3312.261
 [65,] 3351.347
 [66,] 3390.729
 [67,] 3430.409
 [68,] 3470.385
 [69,] 3510.657
 [70,] 3551.227
 [71,] 3592.093
 [72,] 3633.257
 [73,] 3674.716
 [74,] 3716.473
 [75,] 3758.527
 [76,] 3800.877
 [77,] 3843.524
 [78,] 3886.468
 [79,] 3929.708
 [80,] 3973.246
 [81,] 4017.080
 [82,] 4061.211
 [83,] 4105.638
 [84,] 4150.363
 [85,] 4195.384
 [86,] 4240.702
 [87,] 4286.317
 [88,] 4332.229
 [89,] 4378.437
 [90,] 4424.942
 [91,] 4471.744
 [92,] 4518.843
 [93,] 4566.238
 [94,] 4613.931
 [95,] 4661.920
 [96,] 4710.205
 [97,] 4758.788
 [98,] 4807.667
 [99,] 4856.843

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "soc_5_15cm"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc arain_tot population_density
1      0      2     5       0        0  1028.412           100.2384
  wc2.1_30s_elev sand_0_5cm nitrogen_0_5cm ECN_5_15cm pH_0_5cm
1           1206         58            1.3        0.2     6.05

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

baseline_quad_inter_soils_2020_v <- visreg2d(baseline_quad_inter_soils_2020, "N_kgha", "soc_5_15cm",ylab="Soil carbon (g per kg)",xlab="Nitrogen (kg per ha)", main="2020")

baseline_quad_inter_soils_2020_v

$x
 [1]   0.000000   1.159881   2.319763   3.479644   4.639525   5.799407
 [7]   6.959288   8.119170   9.279051  10.438932  11.598814  12.758695
[13]  13.918576  15.078458  16.238339  17.398220  18.558102  19.717983
[19]  20.877864  22.037746  23.197627  24.357509  25.517390  26.677271
[25]  27.837153  28.997034  30.156915  31.316797  32.476678  33.636559
[31]  34.796441  35.956322  37.116203  38.276085  39.435966  40.595848
[37]  41.755729  42.915610  44.075492  45.235373  46.395254  47.555136
[43]  48.715017  49.874898  51.034780  52.194661  53.354542  54.514424
[49]  55.674305  56.834187  57.994068  59.153949  60.313831  61.473712
[55]  62.633593  63.793475  64.953356  66.113237  67.273119  68.433000
[61]  69.592881  70.752763  71.912644  73.072526  74.232407  75.392288
[67]  76.552170  77.712051  78.871932  80.031814  81.191695  82.351576
[73]  83.511458  84.671339  85.831221  86.991102  88.150983  89.310865
[79]  90.470746  91.630627  92.790509  93.950390  95.110271  96.270153
[85]  97.430034  98.589915  99.749797 100.909678 102.069560 103.229441
[91] 104.389322 105.549204 106.709085 107.868966 109.028848 110.188729
[97] 111.348610 112.508492 113.668373

$y
 [1]  6.600000  7.069388  7.538775  8.008163  8.477551  8.946939  9.416326
 [8]  9.885714 10.355102 10.824490 11.293877 11.763265 12.232653 12.702041
[15] 13.171428 13.640816 14.110204 14.579591 15.048979 15.518367 15.987755
[22] 16.457142 16.926530 17.395918 17.865306 18.334693 18.804081 19.273469
[29] 19.742857 20.212244 20.681632 21.151020 21.620408 22.089795 22.559183
[36] 23.028571 23.497959 23.967346 24.436734 24.906122 25.375510 25.844897
[43] 26.314285 26.783673 27.253060 27.722448 28.191836 28.661224 29.130611
[50] 29.599999 30.069387 30.538775 31.008162 31.477550 31.946938 32.416326
[57] 32.885713 33.355101 33.824489 34.293877 34.763264 35.232652 35.702040
[64] 36.171428 36.640815 37.110203 37.579591 38.048979 38.518366 38.987754
[71] 39.457142 39.926529 40.395917 40.865305 41.334693 41.804080 42.273468
[78] 42.742856 43.212244 43.681631 44.151019 44.620407 45.089795 45.559182
[85] 46.028570 46.497958 46.967346 47.436733 47.906121 48.375509 48.844897
[92] 49.314284 49.783672 50.253060 50.722448 51.191835 51.661223 52.130611
[99] 52.599998

$z
           [,1]     [,2]     [,3]     [,4]     [,5]     [,6]      [,7]
  [1,] 1007.393 1006.108 1004.822 1003.536 1002.250 1000.964  999.6784
  [2,] 1013.305 1011.947 1010.589 1009.231 1007.873 1006.515 1005.1570
  [3,] 1019.411 1017.980 1016.550 1015.120 1013.690 1012.260 1010.8300
  [4,] 1025.711 1024.208 1022.706 1021.204 1019.702 1018.200 1016.6973
  [5,] 1032.205 1030.631 1029.056 1027.482 1025.908 1024.333 1022.7589
  [6,] 1038.894 1037.247 1035.601 1033.954 1032.308 1030.661 1029.0149
  [7,] 1045.777 1044.058 1042.340 1040.621 1038.903 1037.184 1035.4653
  [8,] 1052.855 1051.064 1049.273 1047.482 1045.691 1043.901 1042.1100
  [9,] 1060.126 1058.263 1056.401 1054.538 1052.675 1050.812 1048.9490
 [10,] 1067.593 1065.658 1063.722 1061.787 1059.852 1057.917 1055.9824
 [11,] 1075.253 1073.246 1071.239 1069.232 1067.224 1065.217 1063.2101
 [12,] 1083.108 1081.029 1078.949 1076.870 1074.791 1072.711 1070.6322
 [13,] 1091.157 1089.006 1086.854 1084.703 1082.551 1080.400 1078.2486
 [14,] 1099.401 1097.177 1094.954 1092.730 1090.506 1088.283 1086.0594
 [15,] 1107.839 1105.543 1103.247 1100.952 1098.656 1096.360 1094.0645
 [16,] 1116.471 1114.103 1111.735 1109.367 1107.000 1104.632 1102.2640
 [17,] 1125.297 1122.857 1120.418 1117.978 1115.538 1113.098 1110.6578
 [18,] 1134.318 1131.806 1129.294 1126.782 1124.270 1121.758 1119.2459
 [19,] 1143.534 1140.949 1138.365 1135.781 1133.197 1130.613 1128.0284
 [20,] 1152.943 1150.287 1147.631 1144.974 1142.318 1139.662 1137.0052
 [21,] 1162.547 1159.819 1157.090 1154.362 1151.633 1148.905 1146.1764
 [22,] 1172.346 1169.545 1166.744 1163.944 1161.143 1158.343 1155.5419
 [23,] 1182.338 1179.466 1176.593 1173.720 1170.847 1167.975 1165.1018
 [24,] 1192.525 1189.580 1186.636 1183.691 1180.746 1177.801 1174.8560
 [25,] 1202.907 1199.890 1196.873 1193.856 1190.839 1187.822 1184.8046
 [26,] 1213.482 1210.393 1207.304 1204.215 1201.126 1198.037 1194.9475
 [27,] 1224.252 1221.091 1217.930 1214.769 1211.607 1208.446 1205.2847
 [28,] 1235.217 1231.983 1228.750 1225.517 1222.283 1219.050 1215.8163
 [29,] 1246.375 1243.070 1239.764 1236.459 1233.153 1229.848 1226.5423
 [30,] 1257.729 1254.351 1250.973 1247.596 1244.218 1240.840 1237.4626
 [31,] 1269.276 1265.826 1262.376 1258.927 1255.477 1252.027 1248.5772
 [32,] 1281.018 1277.496 1273.974 1270.452 1266.930 1263.408 1259.8862
 [33,] 1292.954 1289.360 1285.766 1282.172 1278.578 1274.984 1271.3895
 [34,] 1305.084 1301.418 1297.752 1294.086 1290.420 1286.753 1283.0871
 [35,] 1317.409 1313.671 1309.932 1306.194 1302.456 1298.717 1294.9792
 [36,] 1329.928 1326.118 1322.307 1318.497 1314.686 1310.876 1307.0655
 [37,] 1342.642 1338.759 1334.877 1330.994 1327.111 1323.229 1319.3462
 [38,] 1355.550 1351.595 1347.640 1343.685 1339.731 1335.776 1331.8213
 [39,] 1368.652 1364.625 1360.598 1356.571 1352.544 1348.518 1344.4907
 [40,] 1381.948 1377.849 1373.750 1369.651 1365.552 1361.453 1357.3544
 [41,] 1395.439 1391.268 1387.097 1382.926 1378.755 1374.584 1370.4125
 [42,] 1409.124 1404.881 1400.638 1396.395 1392.151 1387.908 1383.6649
 [43,] 1423.004 1418.689 1414.373 1410.058 1405.742 1401.427 1397.1117
 [44,] 1437.078 1432.690 1428.303 1423.915 1419.528 1415.140 1410.7528
 [45,] 1451.346 1446.887 1442.427 1437.967 1433.508 1429.048 1424.5883
 [46,] 1465.809 1461.277 1456.745 1452.213 1447.682 1443.150 1438.6181
 [47,] 1480.466 1475.862 1471.258 1466.654 1462.050 1457.446 1452.8422
 [48,] 1495.317 1490.641 1485.965 1481.289 1476.613 1471.937 1467.2607
 [49,] 1510.363 1505.614 1500.866 1496.118 1491.370 1486.622 1481.8736
 [50,] 1525.603 1520.782 1515.962 1511.142 1506.321 1501.501 1496.6807
 [51,] 1541.037 1536.145 1531.252 1526.360 1521.467 1516.575 1511.6823
 [52,] 1556.666 1551.701 1546.736 1541.772 1536.807 1531.843 1526.8782
 [53,] 1572.489 1567.452 1562.415 1557.379 1552.342 1547.305 1542.2684
 [54,] 1588.506 1583.397 1578.288 1573.179 1568.071 1562.962 1557.8530
 [55,] 1604.718 1599.537 1594.356 1589.175 1583.994 1578.813 1573.6319
 [56,] 1621.124 1615.871 1610.618 1605.364 1600.111 1594.858 1589.6051
 [57,] 1637.724 1632.399 1627.074 1621.748 1616.423 1611.098 1605.7727
 [58,] 1654.519 1649.122 1643.724 1638.327 1632.929 1627.532 1622.1347
 [59,] 1671.508 1666.039 1660.569 1655.100 1649.630 1644.160 1638.6910
 [60,] 1688.691 1683.150 1677.608 1672.067 1666.525 1660.983 1655.4416
 [61,] 1706.069 1700.455 1694.842 1689.228 1683.614 1678.000 1672.3866
 [62,] 1723.641 1717.955 1712.270 1706.584 1700.898 1695.212 1689.5259
 [63,] 1741.408 1735.650 1729.892 1724.134 1718.376 1712.618 1706.8596
 [64,] 1759.369 1753.538 1747.708 1741.878 1736.048 1730.218 1724.3876
 [65,] 1777.524 1771.622 1765.719 1759.817 1753.915 1748.012 1742.1100
 [66,] 1795.873 1789.899 1783.924 1777.950 1771.976 1766.001 1760.0267
 [67,] 1814.417 1808.371 1802.324 1796.277 1790.231 1784.184 1778.1378
 [68,] 1833.155 1827.037 1820.918 1814.799 1808.681 1802.562 1796.4432
 [69,] 1852.088 1845.897 1839.706 1833.515 1827.325 1821.134 1814.9429
 [70,] 1871.215 1864.952 1858.689 1852.426 1846.163 1839.900 1833.6370
 [71,] 1890.536 1884.201 1877.866 1871.531 1865.196 1858.861 1852.5254
 [72,] 1910.052 1903.644 1897.237 1890.830 1884.423 1878.015 1871.6082
 [73,] 1929.762 1923.282 1916.803 1910.323 1903.844 1897.365 1890.8853
 [74,] 1949.666 1943.114 1936.563 1930.011 1923.460 1916.908 1910.3568
 [75,] 1969.764 1963.141 1956.517 1949.894 1943.270 1936.646 1930.0226
 [76,] 1990.057 1983.362 1976.666 1969.970 1963.274 1956.579 1949.8828
 [77,] 2010.545 2003.777 1997.009 1990.241 1983.473 1976.705 1969.9373
 [78,] 2031.226 2024.386 2017.546 2010.706 2003.866 1997.026 1990.1861
 [79,] 2052.102 2045.190 2038.278 2031.366 2024.454 2017.542 2010.6293
 [80,] 2073.173 2066.188 2059.204 2052.220 2045.235 2038.251 2031.2669
 [81,] 2094.437 2087.381 2080.324 2073.268 2066.212 2059.155 2052.0988
 [82,] 2115.896 2108.768 2101.639 2094.511 2087.382 2080.254 2073.1250
 [83,] 2137.550 2130.349 2123.148 2115.948 2108.747 2101.546 2094.3456
 [84,] 2159.397 2152.125 2144.852 2137.579 2130.306 2123.033 2115.7605
 [85,] 2181.439 2174.095 2166.750 2159.405 2152.060 2144.715 2137.3698
 [86,] 2203.676 2196.259 2188.842 2181.425 2174.008 2166.590 2159.1734
 [87,] 2226.107 2218.617 2211.128 2203.639 2196.150 2188.661 2181.1713
 [88,] 2248.732 2241.170 2233.609 2226.048 2218.486 2210.925 2203.3637
 [89,] 2271.551 2263.918 2256.284 2248.651 2241.017 2233.384 2225.7503
 [90,] 2294.565 2286.859 2279.154 2271.448 2263.743 2256.037 2248.3313
 [91,] 2317.773 2309.995 2302.218 2294.440 2286.662 2278.884 2271.1066
 [92,] 2341.176 2333.326 2325.476 2317.626 2309.776 2301.926 2294.0763
 [93,] 2364.772 2356.850 2348.928 2341.006 2333.084 2325.162 2317.2403
 [94,] 2388.564 2380.569 2372.575 2364.581 2356.587 2348.593 2340.5987
 [95,] 2412.549 2404.483 2396.417 2388.350 2380.284 2372.218 2364.1514
 [96,] 2436.729 2428.591 2420.452 2412.314 2404.175 2396.037 2387.8985
 [97,] 2461.103 2452.893 2444.682 2436.472 2428.261 2420.050 2411.8399
 [98,] 2485.672 2477.389 2469.106 2460.824 2452.541 2444.258 2435.9757
 [99,] 2510.435 2502.080 2493.725 2485.370 2477.015 2468.661 2460.3058
            [,8]      [,9]     [,10]     [,11]     [,12]     [,13]     [,14]
  [1,]  998.3925  997.1067  995.8209  994.5351  993.2492  991.9634  990.6776
  [2,] 1003.7990 1002.4411 1001.0831  999.7252  998.3672  997.0092  995.6513
  [3,] 1009.3999 1007.9698 1006.5397 1005.1096 1003.6795 1002.2494 1000.8193
  [4,] 1015.1951 1013.6928 1012.1906 1010.6884 1009.1862 1007.6839 1006.1817
  [5,] 1021.1846 1019.6102 1018.0359 1016.4615 1014.8871 1013.3128 1011.7384
  [6,] 1027.3685 1025.7220 1024.0755 1022.4290 1020.7825 1019.1360 1017.4895
  [7,] 1033.7467 1032.0280 1030.3094 1028.5908 1026.8722 1025.1536 1023.4349
  [8,] 1040.3192 1038.5285 1036.7377 1034.9470 1033.1562 1031.3655 1029.5747
  [9,] 1047.0861 1045.2232 1043.3604 1041.4975 1039.6346 1037.7717 1035.9088
 [10,] 1054.0474 1052.1124 1050.1773 1048.2423 1046.3073 1044.3723 1042.4373
 [11,] 1061.2030 1059.1958 1057.1887 1055.1815 1053.1744 1051.1672 1049.1601
 [12,] 1068.5529 1066.4736 1064.3944 1062.3151 1060.2358 1058.1565 1056.0772
 [13,] 1076.0972 1073.9458 1071.7944 1069.6430 1067.4915 1065.3401 1063.1887
 [14,] 1083.8358 1081.6123 1079.3887 1077.1652 1074.9416 1072.7181 1070.4945
 [15,] 1091.7688 1089.4731 1087.1775 1084.8818 1082.5861 1080.2904 1077.9947
 [16,] 1099.8961 1097.5283 1095.1605 1092.7927 1090.4249 1088.0571 1085.6893
 [17,] 1108.2178 1105.7779 1103.3379 1100.8980 1098.4580 1096.0181 1093.5781
 [18,] 1116.7338 1114.2217 1111.7097 1109.1976 1106.6855 1104.1734 1101.6613
 [19,] 1125.4442 1122.8600 1120.2758 1117.6915 1115.1073 1112.5231 1109.9389
 [20,] 1134.3489 1131.6925 1129.0362 1126.3798 1123.7235 1121.0672 1118.4108
 [21,] 1143.4479 1140.7194 1137.9910 1135.2625 1132.5340 1129.8055 1127.0771
 [22,] 1152.7413 1149.9407 1147.1401 1144.3395 1141.5389 1138.7383 1135.9377
 [23,] 1162.2291 1159.3563 1156.4836 1153.6108 1150.7381 1147.8653 1144.9926
 [24,] 1171.9111 1168.9663 1166.0214 1163.0765 1160.1316 1157.1868 1154.2419
 [25,] 1181.7876 1178.7706 1175.7536 1172.7365 1169.7195 1166.7025 1163.6855
 [26,] 1191.8583 1188.7692 1185.6801 1182.5909 1179.5018 1176.4126 1173.3235
 [27,] 1202.1235 1198.9622 1195.8009 1192.6396 1189.4784 1186.3171 1183.1558
 [28,] 1212.5829 1209.3495 1206.1161 1202.8827 1199.6493 1196.4159 1193.1825
 [29,] 1223.2367 1219.9312 1216.6257 1213.3201 1210.0146 1206.7090 1203.4035
 [30,] 1234.0849 1230.7072 1227.3295 1223.9519 1220.5742 1217.1965 1213.8189
 [31,] 1245.1274 1241.6776 1238.2278 1234.7780 1231.3282 1227.8784 1224.4286
 [32,] 1256.3642 1252.8423 1249.3204 1245.7984 1242.2765 1238.7546 1235.2326
 [33,] 1267.7954 1264.2013 1260.6073 1257.0132 1253.4191 1249.8251 1246.2310
 [34,] 1279.4209 1275.7547 1272.0886 1268.4224 1264.7562 1261.0900 1257.4238
 [35,] 1291.2408 1287.5025 1283.7642 1280.0258 1276.2875 1272.5492 1268.8108
 [36,] 1303.2551 1299.4446 1295.6341 1291.8237 1288.0132 1284.2027 1280.3923
 [37,] 1315.4636 1311.5810 1307.6984 1303.8158 1299.9332 1296.0506 1292.1680
 [38,] 1327.8665 1323.9118 1319.9571 1316.0024 1312.0476 1308.0929 1304.1382
 [39,] 1340.4638 1336.4369 1332.4101 1328.3832 1324.3564 1320.3295 1316.3026
 [40,] 1353.2554 1349.1564 1345.0574 1340.9584 1336.8594 1332.7604 1328.6614
 [41,] 1366.2413 1362.0702 1357.8991 1353.7280 1349.5568 1345.3857 1341.2146
 [42,] 1379.4216 1375.1784 1370.9351 1366.6919 1362.4486 1358.2054 1353.9621
 [43,] 1392.7963 1388.4809 1384.1655 1379.8501 1375.5347 1371.2193 1366.9039
 [44,] 1406.3653 1401.9777 1397.5902 1393.2027 1388.8152 1384.4277 1380.0401
 [45,] 1420.1286 1415.6689 1411.2093 1406.7496 1402.2900 1397.8303 1393.3707
 [46,] 1434.0863 1429.5545 1425.0227 1420.4909 1415.9591 1411.4273 1406.8955
 [47,] 1448.2383 1443.6344 1439.0305 1434.4265 1429.8226 1425.2187 1420.6148
 [48,] 1462.5847 1457.9086 1453.2326 1448.5565 1443.8805 1439.2044 1434.5283
 [49,] 1477.1254 1472.3772 1467.6290 1462.8808 1458.1326 1453.3844 1448.6363
 [50,] 1491.8604 1487.0401 1482.2198 1477.3995 1472.5792 1467.7588 1462.9385
 [51,] 1506.7898 1501.8974 1497.0049 1492.1125 1487.2200 1482.3276 1477.4351
 [52,] 1521.9136 1516.9490 1511.9844 1507.0198 1502.0552 1497.0907 1492.1261
 [53,] 1537.2317 1532.1950 1527.1582 1522.1215 1517.0848 1512.0481 1507.0114
 [54,] 1552.7441 1547.6353 1542.5264 1537.4176 1532.3087 1527.1999 1522.0910
 [55,] 1568.4509 1563.2699 1558.0889 1552.9079 1547.7270 1542.5460 1537.3650
 [56,] 1584.3520 1579.0989 1573.8458 1568.5927 1563.3396 1558.0865 1552.8333
 [57,] 1600.4475 1595.1222 1589.7970 1584.4718 1579.1465 1573.8213 1568.4960
 [58,] 1616.7373 1611.3399 1605.9425 1600.5452 1595.1478 1589.7504 1584.3530
 [59,] 1633.2215 1627.7520 1622.2824 1616.8129 1611.3434 1605.8739 1600.4044
 [60,] 1649.9000 1644.3583 1638.8167 1633.2750 1627.7334 1622.1918 1616.6501
 [61,] 1666.7728 1661.1591 1655.5453 1649.9315 1644.3177 1638.7040 1633.0902
 [62,] 1683.8400 1678.1541 1672.4682 1666.7823 1661.0964 1655.4105 1649.7246
 [63,] 1701.1016 1695.3435 1689.5855 1683.8274 1678.0694 1672.3114 1666.5533
 [64,] 1718.5575 1712.7273 1706.8971 1701.0669 1695.2368 1689.4066 1683.5764
 [65,] 1736.2077 1730.3054 1724.4031 1718.5008 1712.5985 1706.6962 1700.7939
 [66,] 1754.0523 1748.0778 1742.1034 1736.1290 1730.1545 1724.1801 1718.2056
 [67,] 1772.0912 1766.0446 1759.9981 1753.9515 1747.9049 1741.8583 1735.8118
 [68,] 1790.3245 1784.2058 1778.0871 1771.9684 1765.8497 1759.7309 1753.6122
 [69,] 1808.7521 1802.5612 1796.3704 1790.1796 1783.9887 1777.7979 1771.6071
 [70,] 1827.3740 1821.1111 1814.8481 1808.5851 1802.3222 1796.0592 1789.7962
 [71,] 1846.1903 1839.8552 1833.5201 1827.1850 1820.8499 1814.5148 1808.1797
 [72,] 1865.2010 1858.7938 1852.3865 1845.9793 1839.5721 1833.1648 1826.7576
 [73,] 1884.4060 1877.9266 1871.4472 1864.9679 1858.4885 1852.0092 1845.5298
 [74,] 1903.8053 1897.2538 1890.7023 1884.1508 1877.5993 1871.0478 1864.4963
 [75,] 1923.3990 1916.7754 1910.1517 1903.5281 1896.9045 1890.2809 1883.6572
 [76,] 1943.1870 1936.4913 1929.7955 1923.0997 1916.4040 1909.7082 1903.0125
 [77,] 1963.1694 1956.4015 1949.6336 1942.8657 1936.0978 1929.3299 1922.5620
 [78,] 1983.3461 1976.5061 1969.6661 1962.8260 1955.9860 1949.1460 1942.3060
 [79,] 2003.7172 1996.8050 1989.8929 1982.9807 1976.0686 1969.1564 1962.2442
 [80,] 2024.2826 2017.2983 2010.3140 2003.3297 1996.3454 1989.3611 1982.3769
 [81,] 2045.0424 2037.9859 2030.9295 2023.8731 2016.8167 2009.7602 2002.7038
 [82,] 2065.9965 2058.8679 2051.7393 2044.6108 2037.4822 2030.3537 2023.2251
 [83,] 2087.1449 2079.9442 2072.7435 2065.5428 2058.3421 2051.1415 2043.9408
 [84,] 2108.4877 2101.2149 2093.9420 2086.6692 2079.3964 2072.1236 2064.8508
 [85,] 2130.0248 2122.6799 2115.3349 2107.9900 2100.6450 2093.3001 2085.9551
 [86,] 2151.7563 2144.3392 2136.9221 2129.5050 2122.0880 2114.6709 2107.2538
 [87,] 2173.6821 2166.1929 2158.7037 2151.2145 2143.7253 2136.2360 2128.7468
 [88,] 2195.8023 2188.2410 2180.6796 2173.1183 2165.5569 2157.9956 2150.4342
 [89,] 2218.1168 2210.4833 2202.8499 2195.2164 2187.5829 2179.9494 2172.3159
 [90,] 2240.6257 2232.9201 2225.2144 2217.5088 2209.8032 2202.0976 2194.3920
 [91,] 2263.3289 2255.5511 2247.7734 2239.9956 2232.2179 2224.4401 2216.6624
 [92,] 2286.2264 2278.3766 2270.5267 2262.6768 2254.8269 2246.9770 2239.1272
 [93,] 2309.3183 2301.3963 2293.4743 2285.5523 2277.6303 2269.7083 2261.7863
 [94,] 2332.6046 2324.6104 2316.6163 2308.6221 2300.6280 2292.6339 2284.6397
 [95,] 2356.0852 2348.0189 2339.9526 2331.8863 2323.8201 2315.7538 2307.6875
 [96,] 2379.7601 2371.6217 2363.4833 2355.3449 2347.2065 2339.0680 2330.9296
 [97,] 2403.6294 2395.4188 2387.2083 2378.9977 2370.7872 2362.5767 2354.3661
 [98,] 2427.6930 2419.4103 2411.1276 2402.8450 2394.5623 2386.2796 2377.9969
 [99,] 2451.9510 2443.5962 2435.2413 2426.8865 2418.5317 2410.1769 2401.8221
           [,15]     [,16]     [,17]     [,18]     [,19]     [,20]     [,21]
  [1,]  989.3918  988.1059  986.8201  985.5343  984.2484  982.9626  981.6768
  [2,]  994.2933  992.9354  991.5774  990.2194  988.8615  987.5035  986.1456
  [3,]  999.3892  997.9591  996.5290  995.0989  993.6689  992.2388  990.8087
  [4,] 1004.6795 1003.1773 1001.6750 1000.1728  998.6706  997.1684  995.6661
  [5,] 1010.1641 1008.5897 1007.0154 1005.4410 1003.8666 1002.2923 1000.7179
  [6,] 1015.8430 1014.1965 1012.5500 1010.9035 1009.2571 1007.6106 1005.9641
  [7,] 1021.7163 1019.9977 1018.2791 1016.5604 1014.8418 1013.1232 1011.4046
  [8,] 1027.7839 1025.9932 1024.2024 1022.4117 1020.6209 1018.8302 1017.0394
  [9,] 1034.0459 1032.1830 1030.3201 1028.4573 1026.5944 1024.7315 1022.8686
 [10,] 1040.5022 1038.5672 1036.6322 1034.6972 1032.7622 1030.8271 1028.8921
 [11,] 1047.1529 1045.1458 1043.1386 1041.1315 1039.1243 1037.1172 1035.1100
 [12,] 1053.9979 1051.9186 1049.8394 1047.7601 1045.6808 1043.6015 1041.5222
 [13,] 1061.0373 1058.8859 1056.7345 1054.5830 1052.4316 1050.2802 1048.1288
 [14,] 1068.2710 1066.0474 1063.8239 1061.6003 1059.3768 1057.1532 1054.9297
 [15,] 1075.6990 1073.4034 1071.1077 1068.8120 1066.5163 1064.2206 1061.9249
 [16,] 1083.3214 1080.9536 1078.5858 1076.2180 1073.8502 1071.4824 1069.1145
 [17,] 1091.1382 1088.6982 1086.2583 1083.8183 1081.3784 1078.9384 1076.4985
 [18,] 1099.1493 1096.6372 1094.1251 1091.6130 1089.1009 1086.5889 1084.0768
 [19,] 1107.3547 1104.7705 1102.1863 1099.6021 1097.0178 1094.4336 1091.8494
 [20,] 1115.7545 1113.0981 1110.4418 1107.7854 1105.1291 1102.4727 1099.8164
 [21,] 1124.3486 1121.6201 1118.8916 1116.1632 1113.4347 1110.7062 1107.9777
 [22,] 1133.1371 1130.3364 1127.5358 1124.7352 1121.9346 1119.1340 1116.3334
 [23,] 1142.1199 1139.2471 1136.3744 1133.5016 1130.6289 1127.7562 1124.8834
 [24,] 1151.2970 1148.3521 1145.4073 1142.4624 1139.5175 1136.5726 1133.6278
 [25,] 1160.6685 1157.6515 1154.6345 1151.6175 1148.6005 1145.5835 1142.5665
 [26,] 1170.2344 1167.1452 1164.0561 1160.9669 1157.8778 1154.7887 1151.6995
 [27,] 1179.9946 1176.8333 1173.6720 1170.5107 1167.3495 1164.1882 1161.0269
 [28,] 1189.9491 1186.7157 1183.4823 1180.2489 1177.0155 1173.7821 1170.5487
 [29,] 1200.0980 1196.7924 1193.4869 1190.1814 1186.8758 1183.5703 1180.2648
 [30,] 1210.4412 1207.0635 1203.6859 1200.3082 1196.9305 1193.5529 1190.1752
 [31,] 1220.9788 1217.5290 1214.0792 1210.6294 1207.1796 1203.7298 1200.2800
 [32,] 1231.7107 1228.1888 1224.6668 1221.1449 1217.6230 1214.1010 1210.5791
 [33,] 1242.6370 1239.0429 1235.4488 1231.8548 1228.2607 1224.6666 1221.0726
 [34,] 1253.7576 1250.0914 1246.4252 1242.7590 1239.0928 1235.4266 1231.7604
 [35,] 1265.0725 1261.3342 1257.5958 1253.8575 1250.1192 1246.3809 1242.6425
 [36,] 1276.5818 1272.7713 1268.9609 1265.1504 1261.3400 1257.5295 1253.7190
 [37,] 1288.2854 1284.4029 1280.5203 1276.6377 1272.7551 1268.8725 1264.9899
 [38,] 1300.1834 1296.2287 1292.2740 1288.3193 1284.3645 1280.4098 1276.4551
 [39,] 1312.2758 1308.2489 1304.2220 1300.1952 1296.1683 1292.1415 1288.1146
 [40,] 1324.5624 1320.4635 1316.3645 1312.2655 1308.1665 1304.0675 1299.9685
 [41,] 1337.0435 1332.8723 1328.7012 1324.5301 1320.3590 1316.1878 1312.0167
 [42,] 1349.7188 1345.4756 1341.2323 1336.9891 1332.7458 1328.5025 1324.2593
 [43,] 1362.5886 1358.2732 1353.9578 1349.6424 1345.3270 1341.0116 1336.6962
 [44,] 1375.6526 1371.2651 1366.8776 1362.4900 1358.1025 1353.7150 1349.3275
 [45,] 1388.9110 1384.4514 1379.9917 1375.5320 1371.0724 1366.6127 1362.1531
 [46,] 1402.3638 1397.8320 1393.3002 1388.7684 1384.2366 1379.7048 1375.1730
 [47,] 1416.0109 1411.4069 1406.8030 1402.1991 1397.5952 1392.9913 1388.3873
 [48,] 1429.8523 1425.1762 1420.5002 1415.8241 1411.1481 1406.4720 1401.7960
 [49,] 1443.8881 1439.1399 1434.3917 1429.6435 1424.8953 1420.1472 1415.3990
 [50,] 1458.1182 1453.2979 1448.4776 1443.6573 1438.8369 1434.0166 1429.1963
 [51,] 1472.5427 1467.6502 1462.7578 1457.8653 1452.9729 1448.0804 1443.1880
 [52,] 1487.1615 1482.1969 1477.2323 1472.2678 1467.3032 1462.3386 1457.3740
 [53,] 1501.9747 1496.9380 1491.9012 1486.8645 1481.8278 1476.7911 1471.7544
 [54,] 1516.9822 1511.8733 1506.7645 1501.6556 1496.5468 1491.4379 1486.3291
 [55,] 1532.1840 1527.0030 1521.8221 1516.6411 1511.4601 1506.2791 1501.0982
 [56,] 1547.5802 1542.3271 1537.0740 1531.8209 1526.5678 1521.3147 1516.0616
 [57,] 1563.1708 1557.8455 1552.5203 1547.1950 1541.8698 1536.5446 1531.2193
 [58,] 1578.9557 1573.5583 1568.1609 1562.7635 1557.3662 1551.9688 1546.5714
 [59,] 1594.9349 1589.4654 1583.9959 1578.5264 1573.0569 1567.5874 1562.1178
 [60,] 1611.1085 1605.5668 1600.0252 1594.4836 1588.9419 1583.4003 1577.8586
 [61,] 1627.4764 1621.8626 1616.2489 1610.6351 1605.0213 1599.4075 1593.7938
 [62,] 1644.0387 1638.3528 1632.6669 1626.9810 1621.2950 1615.6091 1609.9232
 [63,] 1660.7953 1655.0373 1649.2792 1643.5212 1637.7631 1632.0051 1626.2471
 [64,] 1677.7463 1671.9161 1666.0859 1660.2557 1654.4256 1648.5954 1642.7652
 [65,] 1694.8916 1688.9893 1683.0870 1677.1846 1671.2823 1665.3800 1659.4777
 [66,] 1712.2312 1706.2568 1700.2823 1694.3079 1688.3335 1682.3590 1676.3846
 [67,] 1729.7652 1723.7186 1717.6721 1711.6255 1705.5789 1699.5324 1693.4858
 [68,] 1747.4935 1741.3748 1735.2561 1729.1374 1723.0187 1716.9000 1710.7813
 [69,] 1765.4162 1759.2254 1753.0346 1746.8437 1740.6529 1734.4621 1728.2712
 [70,] 1783.5333 1777.2703 1771.0073 1764.7444 1758.4814 1752.2184 1745.9555
 [71,] 1801.8446 1795.5095 1789.1744 1782.8393 1776.5042 1770.1691 1763.8340
 [72,] 1820.3504 1813.9431 1807.5359 1801.1287 1794.7214 1788.3142 1781.9070
 [73,] 1839.0504 1832.5711 1826.0917 1819.6123 1813.1330 1806.6536 1800.1742
 [74,] 1857.9448 1851.3933 1844.8419 1838.2904 1831.7389 1825.1874 1818.6359
 [75,] 1877.0336 1870.4100 1863.7863 1857.1627 1850.5391 1843.9155 1837.2918
 [76,] 1896.3167 1889.6209 1882.9252 1876.2294 1869.5337 1862.8379 1856.1421
 [77,] 1915.7941 1909.0263 1902.2584 1895.4905 1888.7226 1881.9547 1875.1868
 [78,] 1935.4659 1928.6259 1921.7859 1914.9459 1908.1058 1901.2658 1894.4258
 [79,] 1955.3321 1948.4199 1941.5078 1934.5956 1927.6834 1920.7713 1913.8591
 [80,] 1975.3926 1968.4083 1961.4240 1954.4397 1947.4554 1940.4711 1933.4868
 [81,] 1995.6474 1988.5910 1981.5345 1974.4781 1967.4217 1960.3653 1953.3089
 [82,] 2016.0966 2008.9680 2001.8395 1994.7109 1987.5823 1980.4538 1973.3252
 [83,] 2036.7401 2029.5394 2022.3387 2015.1380 2007.9373 2000.7366 1993.5360
 [84,] 2057.5779 2050.3051 2043.0323 2035.7595 2028.4867 2021.2138 2013.9410
 [85,] 2078.6102 2071.2652 2063.9202 2056.5753 2049.2303 2041.8854 2034.5404
 [86,] 2099.8367 2092.4196 2085.0025 2077.5855 2070.1684 2062.7513 2055.3342
 [87,] 2121.2576 2113.7684 2106.2792 2098.7900 2091.3007 2083.8115 2076.3223
 [88,] 2142.8729 2135.3115 2127.7501 2120.1888 2112.6274 2105.0661 2097.5047
 [89,] 2164.6824 2157.0490 2149.4155 2141.7820 2134.1485 2126.5150 2118.8815
 [90,] 2186.6864 2178.9808 2171.2751 2163.5695 2155.8639 2148.1583 2140.4527
 [91,] 2208.8847 2201.1069 2193.3292 2185.5514 2177.7737 2169.9959 2162.2182
 [92,] 2231.2773 2223.4274 2215.5775 2207.7276 2199.8778 2192.0279 2184.1780
 [93,] 2253.8642 2245.9422 2238.0202 2230.0982 2222.1762 2214.2542 2206.3322
 [94,] 2276.6456 2268.6514 2260.6573 2252.6631 2244.6690 2236.6748 2228.6807
 [95,] 2299.6212 2291.5549 2283.4887 2275.4224 2267.3561 2259.2898 2251.2236
 [96,] 2322.7912 2314.6528 2306.5144 2298.3760 2290.2376 2282.0992 2273.9608
 [97,] 2346.1556 2337.9450 2329.7345 2321.5239 2313.3134 2305.1029 2296.8923
 [98,] 2369.7143 2361.4316 2353.1489 2344.8662 2336.5836 2328.3009 2320.0182
 [99,] 2393.4673 2385.1125 2376.7577 2368.4029 2360.0481 2351.6933 2343.3385
           [,22]     [,23]     [,24]     [,25]     [,26]     [,27]     [,28]
  [1,]  980.3910  979.1051  977.8193  976.5335  975.2476  973.9618  972.6760
  [2,]  984.7876  983.4296  982.0717  980.7137  979.3558  977.9978  976.6398
  [3,]  989.3786  987.9485  986.5184  985.0883  983.6582  982.2281  980.7980
  [4,]  994.1639  992.6617  991.1594  989.6572  988.1550  986.6528  985.1505
  [5,]  999.1436  997.5692  995.9949  994.4205  992.8461  991.2718  989.6974
  [6,] 1004.3176 1002.6711 1001.0246  999.3781  997.7316  996.0851  994.4386
  [7,] 1009.6859 1007.9673 1006.2487 1004.5301 1002.8115 1001.0928  999.3742
  [8,] 1015.2487 1013.4579 1011.6671 1009.8764 1008.0856 1006.2949 1004.5041
  [9,] 1021.0057 1019.1428 1017.2799 1015.4170 1013.5542 1011.6913 1009.8284
 [10,] 1026.9571 1025.0221 1023.0871 1021.1520 1019.2170 1017.2820 1015.3470
 [11,] 1033.1028 1031.0957 1029.0885 1027.0814 1025.0742 1023.0671 1021.0599
 [12,] 1039.4429 1037.3636 1035.2844 1033.2051 1031.1258 1029.0465 1026.9672
 [13,] 1045.9774 1043.8259 1041.6745 1039.5231 1037.3717 1035.2203 1033.0689
 [14,] 1052.7061 1050.4826 1048.2590 1046.0355 1043.8119 1041.5884 1039.3648
 [15,] 1059.6293 1057.3336 1055.0379 1052.7422 1050.4465 1048.1509 1045.8552
 [16,] 1066.7467 1064.3789 1062.0111 1059.6433 1057.2755 1054.9077 1052.5398
 [17,] 1074.0585 1071.6186 1069.1787 1066.7387 1064.2988 1061.8588 1059.4189
 [18,] 1081.5647 1079.0526 1076.5405 1074.0285 1071.5164 1069.0043 1066.4922
 [19,] 1089.2652 1086.6810 1084.0968 1081.5126 1078.9284 1076.3441 1073.7599
 [20,] 1097.1601 1094.5037 1091.8474 1089.1910 1086.5347 1083.8783 1081.2220
 [21,] 1105.2492 1102.5208 1099.7923 1097.0638 1094.3353 1091.6069 1088.8784
 [22,] 1113.5328 1110.7322 1107.9316 1105.1310 1102.3303 1099.5297 1096.7291
 [23,] 1122.0107 1119.1379 1116.2652 1113.3924 1110.5197 1107.6470 1104.7742
 [24,] 1130.6829 1127.7380 1124.7932 1121.8483 1118.9034 1115.9585 1113.0137
 [25,] 1139.5495 1136.5325 1133.5155 1130.4985 1127.4814 1124.4644 1121.4474
 [26,] 1148.6104 1145.5213 1142.4321 1139.3430 1136.2538 1133.1647 1130.0756
 [27,] 1157.8657 1154.7044 1151.5431 1148.3818 1145.2206 1142.0593 1138.8980
 [28,] 1167.3153 1164.0819 1160.8485 1157.6151 1154.3816 1151.1482 1147.9148
 [29,] 1176.9592 1173.6537 1170.3481 1167.0426 1163.7371 1160.4315 1157.1260
 [30,] 1186.7975 1183.4199 1180.0422 1176.6645 1173.2868 1169.9092 1166.5315
 [31,] 1196.8302 1193.3804 1189.9306 1186.4808 1183.0310 1179.5812 1176.1314
 [32,] 1207.0572 1203.5352 1200.0133 1196.4914 1192.9694 1189.4475 1185.9256
 [33,] 1217.4785 1213.8844 1210.2904 1206.6963 1203.1022 1199.5082 1195.9141
 [34,] 1228.0942 1224.4280 1220.7618 1217.0956 1213.4294 1209.7632 1206.0970
 [35,] 1238.9042 1235.1659 1231.4275 1227.6892 1223.9509 1220.2125 1216.4742
 [36,] 1249.9086 1246.0981 1242.2876 1238.4772 1234.6667 1230.8562 1227.0458
 [37,] 1261.1073 1257.2247 1253.3421 1249.4595 1245.5769 1241.6943 1237.8117
 [38,] 1272.5003 1268.5456 1264.5909 1260.6362 1256.6814 1252.7267 1248.7720
 [39,] 1284.0877 1280.0609 1276.0340 1272.0072 1267.9803 1263.9534 1259.9266
 [40,] 1295.8695 1291.7705 1287.6715 1283.5725 1279.4735 1275.3745 1271.2755
 [41,] 1307.8456 1303.6745 1299.5033 1295.3322 1291.1611 1286.9900 1282.8188
 [42,] 1320.0160 1315.7728 1311.5295 1307.2863 1303.0430 1298.7997 1294.5565
 [43,] 1332.3808 1328.0654 1323.7500 1319.4346 1315.1193 1310.8039 1306.4885
 [44,] 1344.9399 1340.5524 1336.1649 1331.7774 1327.3899 1323.0023 1318.6148
 [45,] 1357.6934 1353.2338 1348.7741 1344.3145 1339.8548 1335.3951 1330.9355
 [46,] 1370.6412 1366.1095 1361.5777 1357.0459 1352.5141 1347.9823 1343.4505
 [47,] 1383.7834 1379.1795 1374.5756 1369.9717 1365.3677 1360.7638 1356.1599
 [48,] 1397.1199 1392.4439 1387.7678 1383.0918 1378.4157 1373.7397 1369.0636
 [49,] 1410.6508 1405.9026 1401.1544 1396.4062 1391.6580 1386.9099 1382.1617
 [50,] 1424.3760 1419.5557 1414.7353 1409.9150 1405.0947 1400.2744 1395.4541
 [51,] 1438.2955 1433.4031 1428.5106 1423.6182 1418.7257 1413.8333 1408.9408
 [52,] 1452.4094 1447.4448 1442.4803 1437.5157 1432.5511 1427.5865 1422.6219
 [53,] 1466.7177 1461.6809 1456.6442 1451.6075 1446.5708 1441.5341 1436.4974
 [54,] 1481.2202 1476.1114 1471.0025 1465.8937 1460.7849 1455.6760 1450.5672
 [55,] 1495.9172 1490.7362 1485.5552 1480.3742 1475.1933 1470.0123 1464.8313
 [56,] 1510.8084 1505.5553 1500.3022 1495.0491 1489.7960 1484.5429 1479.2898
 [57,] 1525.8941 1520.5688 1515.2436 1509.9183 1504.5931 1499.2678 1493.9426
 [58,] 1541.1740 1535.7766 1530.3793 1524.9819 1519.5845 1514.1871 1508.7898
 [59,] 1556.6483 1551.1788 1545.7093 1540.2398 1534.7703 1529.3008 1523.8313
 [60,] 1572.3170 1566.7753 1561.2337 1555.6921 1550.1504 1544.6088 1539.0671
 [61,] 1588.1800 1582.5662 1576.9524 1571.3387 1565.7249 1560.1111 1554.4973
 [62,] 1604.2373 1598.5514 1592.8655 1587.1796 1581.4937 1575.8078 1570.1219
 [63,] 1620.4890 1614.7310 1608.9729 1603.2149 1597.4569 1591.6988 1585.9408
 [64,] 1636.9351 1631.1049 1625.2747 1619.4445 1613.6144 1607.7842 1601.9540
 [65,] 1653.5754 1647.6731 1641.7708 1635.8685 1629.9662 1624.0639 1618.1616
 [66,] 1670.4102 1664.4357 1658.4613 1652.4868 1646.5124 1640.5380 1634.5635
 [67,] 1687.4392 1681.3927 1675.3461 1669.2995 1663.2529 1657.2064 1651.1598
 [68,] 1704.6626 1698.5439 1692.4252 1686.3065 1680.1878 1674.0691 1667.9504
 [69,] 1722.0804 1715.8896 1709.6987 1703.5079 1697.3171 1691.1262 1684.9354
 [70,] 1739.6925 1733.4295 1727.1666 1720.9036 1714.6406 1708.3777 1702.1147
 [71,] 1757.4990 1751.1639 1744.8288 1738.4937 1732.1586 1725.8235 1719.4884
 [72,] 1775.4997 1769.0925 1762.6853 1756.2781 1749.8708 1743.4636 1737.0564
 [73,] 1793.6949 1787.2155 1780.7362 1774.2568 1767.7774 1761.2981 1754.8187
 [74,] 1812.0844 1805.5329 1798.9814 1792.4299 1785.8784 1779.3269 1772.7754
 [75,] 1830.6682 1824.0446 1817.4209 1810.7973 1804.1737 1797.5501 1790.9264
 [76,] 1849.4464 1842.7506 1836.0549 1829.3591 1822.6633 1815.9676 1809.2718
 [77,] 1868.4189 1861.6510 1854.8831 1848.1152 1841.3473 1834.5794 1827.8115
 [78,] 1887.5858 1880.7457 1873.9057 1867.0657 1860.2257 1853.3856 1846.5456
 [79,] 1906.9470 1900.0348 1893.1227 1886.2105 1879.2983 1872.3862 1865.4740
 [80,] 1926.5025 1919.5182 1912.5339 1905.5497 1898.5654 1891.5811 1884.5968
 [81,] 1946.2524 1939.1960 1932.1396 1925.0832 1918.0267 1910.9703 1903.9139
 [82,] 1966.1967 1959.0681 1951.9396 1944.8110 1937.6825 1930.5539 1923.4253
 [83,] 1986.3353 1979.1346 1971.9339 1964.7332 1957.5325 1950.3318 1943.1311
 [84,] 2006.6682 1999.3954 1992.1226 1984.8497 1977.5769 1970.3041 1963.0313
 [85,] 2027.1955 2019.8505 2012.5056 2005.1606 1997.8157 1990.4707 1983.1258
 [86,] 2047.9171 2040.5000 2033.0829 2025.6659 2018.2488 2010.8317 2003.4146
 [87,] 2068.8331 2061.3439 2053.8546 2046.3654 2038.8762 2031.3870 2023.8978
 [88,] 2089.9434 2082.3820 2074.8207 2067.2593 2059.6980 2052.1366 2044.5753
 [89,] 2111.2481 2103.6146 2095.9811 2088.3476 2080.7141 2073.0806 2065.4472
 [90,] 2132.7471 2125.0415 2117.3358 2109.6302 2101.9246 2094.2190 2086.5134
 [91,] 2154.4404 2146.6627 2138.8849 2131.1072 2123.3294 2115.5517 2107.7739
 [92,] 2176.3281 2168.4782 2160.6284 2152.7785 2144.9286 2137.0787 2129.2288
 [93,] 2198.4102 2190.4881 2182.5661 2174.6441 2166.7221 2158.8001 2150.8781
 [94,] 2220.6865 2212.6924 2204.6983 2196.7041 2188.7100 2180.7158 2172.7217
 [95,] 2243.1573 2235.0910 2227.0247 2218.9584 2210.8922 2202.8259 2194.7596
 [96,] 2265.8224 2257.6839 2249.5455 2241.4071 2233.2687 2225.1303 2216.9919
 [97,] 2288.6818 2280.4712 2272.2607 2264.0502 2255.8396 2247.6291 2239.4185
 [98,] 2311.7355 2303.4529 2295.1702 2286.8875 2278.6048 2270.3222 2262.0395
 [99,] 2334.9837 2326.6289 2318.2740 2309.9192 2301.5644 2293.2096 2284.8548
           [,29]     [,30]     [,31]     [,32]     [,33]     [,34]     [,35]
  [1,]  971.3902  970.1043  968.8185  967.5327  966.2468  964.9610  963.6752
  [2,]  975.2819  973.9239  972.5659  971.2080  969.8500  968.4921  967.1341
  [3,]  979.3679  977.9378  976.5077  975.0776  973.6476  972.2175  970.7874
  [4,]  983.6483  982.1461  980.6439  979.1416  977.6394  976.1372  974.6350
  [5,]  988.1231  986.5487  984.9744  983.4000  981.8256  980.2513  978.6769
  [6,]  992.7922  991.1457  989.4992  987.8527  986.2062  984.5597  982.9132
  [7,]  997.6556  995.9370  994.2183  992.4997  990.7811  989.0625  987.3439
  [8,] 1002.7134 1000.9226  999.1319  997.3411  995.5503  993.7596  991.9688
  [9,] 1007.9655 1006.1026 1004.2397 1002.3768 1000.5139  998.6511  996.7882
 [10,] 1013.4120 1011.4769 1009.5419 1007.6069 1005.6719 1003.7369 1001.8018
 [11,] 1019.0528 1017.0456 1015.0385 1013.0313 1011.0242 1009.0170 1007.0099
 [12,] 1024.8879 1022.8087 1020.7294 1018.6501 1016.5708 1014.4915 1012.4122
 [13,] 1030.9174 1028.7660 1026.6146 1024.4632 1022.3118 1020.1604 1018.0089
 [14,] 1037.1413 1034.9177 1032.6942 1030.4706 1028.2471 1026.0235 1023.8000
 [15,] 1043.5595 1041.2638 1038.9681 1036.6724 1034.3768 1032.0811 1029.7854
 [16,] 1050.1720 1047.8042 1045.4364 1043.0686 1040.7008 1038.3330 1035.9651
 [17,] 1056.9789 1054.5390 1052.0990 1049.6591 1047.2191 1044.7792 1042.3392
 [18,] 1063.9801 1061.4681 1058.9560 1056.4439 1053.9318 1051.4198 1048.9077
 [19,] 1071.1757 1068.5915 1066.0073 1063.4231 1060.8389 1058.2547 1055.6705
 [20,] 1078.5656 1075.9093 1073.2530 1070.5966 1067.9403 1065.2839 1062.6276
 [21,] 1086.1499 1083.4214 1080.6930 1077.9645 1075.2360 1072.5075 1069.7791
 [22,] 1093.9285 1091.1279 1088.3273 1085.5267 1082.7261 1079.9255 1077.1249
 [23,] 1101.9015 1099.0287 1096.1560 1093.2833 1090.4105 1087.5378 1084.6650
 [24,] 1110.0688 1107.1239 1104.1790 1101.2342 1098.2893 1095.3444 1092.3995
 [25,] 1118.4304 1115.4134 1112.3964 1109.3794 1106.3624 1103.3454 1100.3284
 [26,] 1126.9864 1123.8973 1120.8081 1117.7190 1114.6299 1111.5407 1108.4516
 [27,] 1135.7368 1132.5755 1129.4142 1126.2529 1123.0917 1119.9304 1116.7691
 [28,] 1144.6814 1141.4480 1138.2146 1134.9812 1131.7478 1128.5144 1125.2810
 [29,] 1153.8205 1150.5149 1147.2094 1143.9039 1140.5983 1137.2928 1133.9872
 [30,] 1163.1538 1159.7762 1156.3985 1153.0208 1149.6432 1146.2655 1142.8878
 [31,] 1172.6816 1169.2318 1165.7820 1162.3322 1158.8824 1155.4325 1151.9827
 [32,] 1182.4036 1178.8817 1175.3598 1171.8378 1168.3159 1164.7939 1161.2720
 [33,] 1192.3200 1188.7260 1185.1319 1181.5378 1177.9438 1174.3497 1170.7556
 [34,] 1202.4308 1198.7646 1195.0984 1191.4322 1187.7660 1184.0998 1180.4336
 [35,] 1212.7359 1208.9975 1205.2592 1201.5209 1197.7826 1194.0442 1190.3059
 [36,] 1223.2353 1219.4249 1215.6144 1211.8039 1207.9935 1204.1830 1200.3725
 [37,] 1233.9291 1230.0465 1226.1639 1222.2813 1218.3987 1214.5161 1210.6335
 [38,] 1244.8172 1240.8625 1236.9078 1232.9531 1228.9983 1225.0436 1221.0889
 [39,] 1255.8997 1251.8729 1247.8460 1243.8191 1239.7923 1235.7654 1231.7386
 [40,] 1267.1765 1263.0776 1258.9786 1254.8796 1250.7806 1246.6816 1242.5826
 [41,] 1278.6477 1274.4766 1270.3055 1266.1343 1261.9632 1257.7921 1253.6210
 [42,] 1290.3132 1286.0700 1281.8267 1277.5835 1273.3402 1269.0969 1264.8537
 [43,] 1302.1731 1297.8577 1293.5423 1289.2269 1284.9115 1280.5961 1276.2807
 [44,] 1314.2273 1309.8398 1305.4522 1301.0647 1296.6772 1292.2897 1287.9022
 [45,] 1326.4758 1322.0162 1317.5565 1313.0969 1308.6372 1304.1776 1299.7179
 [46,] 1338.9187 1334.3869 1329.8552 1325.3234 1320.7916 1316.2598 1311.7280
 [47,] 1351.5560 1346.9521 1342.3481 1337.7442 1333.1403 1328.5364 1323.9325
 [48,] 1364.3876 1359.7115 1355.0355 1350.3594 1345.6833 1341.0073 1336.3312
 [49,] 1377.4135 1372.6653 1367.9171 1363.1689 1358.4207 1353.6726 1348.9244
 [50,] 1390.6338 1385.8134 1380.9931 1376.1728 1371.3525 1366.5322 1361.7119
 [51,] 1404.0484 1399.1559 1394.2635 1389.3710 1384.4786 1379.5861 1374.6937
 [52,] 1417.6573 1412.6928 1407.7282 1402.7636 1397.7990 1392.8344 1387.8699
 [53,] 1431.4607 1426.4239 1421.3872 1416.3505 1411.3138 1406.2771 1401.2404
 [54,] 1445.4583 1440.3495 1435.2406 1430.1318 1425.0229 1419.9141 1414.8052
 [55,] 1459.6503 1454.4693 1449.2884 1444.1074 1438.9264 1433.7454 1428.5644
 [56,] 1474.0367 1468.7835 1463.5304 1458.2773 1453.0242 1447.7711 1442.5180
 [57,] 1488.6173 1483.2921 1477.9669 1472.6416 1467.3164 1461.9911 1456.6659
 [58,] 1503.3924 1497.9950 1492.5976 1487.2003 1481.8029 1476.4055 1471.0081
 [59,] 1518.3618 1512.8923 1507.4227 1501.9532 1496.4837 1491.0142 1485.5447
 [60,] 1533.5255 1527.9839 1522.4422 1516.9006 1511.3589 1505.8173 1500.2756
 [61,] 1548.8836 1543.2698 1537.6560 1532.0422 1526.4285 1520.8147 1515.2009
 [62,] 1564.4360 1558.7501 1553.0642 1547.3783 1541.6924 1536.0064 1530.3205
 [63,] 1580.1827 1574.4247 1568.6667 1562.9086 1557.1506 1551.3925 1545.6345
 [64,] 1596.1238 1590.2937 1584.4635 1578.6333 1572.8032 1566.9730 1561.1428
 [65,] 1612.2593 1606.3570 1600.4547 1594.5524 1588.6501 1582.7478 1576.8455
 [66,] 1628.5891 1622.6147 1616.6402 1610.6658 1604.6914 1598.7169 1592.7425
 [67,] 1645.1132 1639.0667 1633.0201 1626.9735 1620.9270 1614.8804 1608.8338
 [68,] 1661.8317 1655.7130 1649.5943 1643.4756 1637.3569 1631.2382 1625.1195
 [69,] 1678.7446 1672.5537 1666.3629 1660.1721 1653.9812 1647.7904 1641.5996
 [70,] 1695.8517 1689.5888 1683.3258 1677.0628 1670.7999 1664.5369 1658.2739
 [71,] 1713.1533 1706.8182 1700.4831 1694.1480 1687.8129 1681.4778 1675.1427
 [72,] 1730.6491 1724.2419 1717.8347 1711.4274 1705.0202 1698.6130 1692.2057
 [73,] 1748.3393 1741.8600 1735.3806 1728.9012 1722.4219 1715.9425 1709.4632
 [74,] 1766.2239 1759.6724 1753.1209 1746.5694 1740.0179 1733.4664 1726.9149
 [75,] 1784.3028 1777.6792 1771.0555 1764.4319 1757.8083 1751.1847 1744.5610
 [76,] 1802.5760 1795.8803 1789.1845 1782.4888 1775.7930 1769.0972 1762.4015
 [77,] 1821.0436 1814.2757 1807.5079 1800.7400 1793.9721 1787.2042 1780.4363
 [78,] 1839.7056 1832.8656 1826.0255 1819.1855 1812.3455 1805.5055 1798.6654
 [79,] 1858.5619 1851.6497 1844.7375 1837.8254 1830.9132 1824.0011 1817.0889
 [80,] 1877.6125 1870.6282 1863.6439 1856.6596 1849.6753 1842.6910 1835.7067
 [81,] 1896.8575 1889.8010 1882.7446 1875.6882 1868.6318 1861.5754 1854.5189
 [82,] 1916.2968 1909.1682 1902.0397 1894.9111 1887.7826 1880.6540 1873.5255
 [83,] 1935.9304 1928.7298 1921.5291 1914.3284 1907.1277 1899.9270 1892.7263
 [84,] 1955.7585 1948.4856 1941.2128 1933.9400 1926.6672 1919.3944 1912.1215
 [85,] 1975.7808 1968.4359 1961.0909 1953.7460 1946.4010 1939.0560 1931.7111
 [86,] 1995.9975 1988.5804 1981.1633 1973.7463 1966.3292 1958.9121 1951.4950
 [87,] 2016.4086 2008.9193 2001.4301 1993.9409 1986.4517 1978.9625 1971.4732
 [88,] 2037.0139 2029.4526 2021.8912 2014.3299 2006.7685 1999.2072 1991.6458
 [89,] 2057.8137 2050.1802 2042.5467 2034.9132 2027.2798 2019.6463 2012.0128
 [90,] 2078.8078 2071.1021 2063.3965 2055.6909 2047.9853 2040.2797 2032.5741
 [91,] 2099.9962 2092.2184 2084.4407 2076.6629 2068.8852 2061.1074 2053.3297
 [92,] 2121.3790 2113.5291 2105.6792 2097.8293 2089.9794 2082.1296 2074.2797
 [93,] 2142.9561 2135.0341 2127.1120 2119.1900 2111.2680 2103.3460 2095.4240
 [94,] 2164.7275 2156.7334 2148.7392 2140.7451 2132.7510 2124.7568 2116.7627
 [95,] 2186.6933 2178.6271 2170.5608 2162.4945 2154.4282 2146.3620 2138.2957
 [96,] 2208.8535 2200.7151 2192.5767 2184.4383 2176.2998 2168.1614 2160.0230
 [97,] 2231.2080 2222.9974 2214.7869 2206.5764 2198.3658 2190.1553 2181.9447
 [98,] 2253.7568 2245.4742 2237.1915 2228.9088 2220.6261 2212.3435 2204.0608
 [99,] 2276.5000 2268.1452 2259.7904 2251.4356 2243.0808 2234.7260 2226.3712
           [,36]     [,37]     [,38]     [,39]     [,40]     [,41]     [,42]
  [1,]  962.3894  961.1035  959.8177  958.5319  957.2461  955.9602  954.6744
  [2,]  965.7761  964.4182  963.0602  961.7023  960.3443  958.9863  957.6284
  [3,]  969.3573  967.9272  966.4971  965.0670  963.6369  962.2068  960.7767
  [4,]  973.1327  971.6305  970.1283  968.6261  967.1238  965.6216  964.1194
  [5,]  977.1026  975.5282  973.9538  972.3795  970.8051  969.2308  967.6564
  [6,]  981.2667  979.6202  977.9737  976.3273  974.6808  973.0343  971.3878
  [7,]  985.6252  983.9066  982.1880  980.4694  978.7507  977.0321  975.3135
  [8,]  990.1781  988.3873  986.5966  984.8058  983.0151  981.2243  979.4336
  [9,]  994.9253  993.0624  991.1995  989.3366  987.4737  985.6108  983.7480
 [10,]  999.8668  997.9318  995.9968  994.0618  992.1267  990.1917  988.2567
 [11,] 1005.0027 1002.9956 1000.9884  998.9813  996.9741  994.9670  992.9598
 [12,] 1010.3329 1008.2537 1006.1744 1004.0951 1002.0158  999.9365  997.8572
 [13,] 1015.8575 1013.7061 1011.5547 1009.4033 1007.2519 1005.1004 1002.9490
 [14,] 1021.5764 1019.3529 1017.1293 1014.9058 1012.6822 1010.4587 1008.2351
 [15,] 1027.4897 1025.1940 1022.8984 1020.6027 1018.3070 1016.0113 1013.7156
 [16,] 1033.5973 1031.2295 1028.8617 1026.4939 1024.1261 1021.7583 1019.3904
 [17,] 1039.8993 1037.4593 1035.0194 1032.5794 1030.1395 1027.6996 1025.2596
 [18,] 1046.3956 1043.8835 1041.3714 1038.8594 1036.3473 1033.8352 1031.3231
 [19,] 1053.0862 1050.5020 1047.9178 1045.3336 1042.7494 1040.1652 1037.5810
 [20,] 1059.9712 1057.3149 1054.6585 1052.0022 1049.3459 1046.6895 1044.0332
 [21,] 1067.0506 1064.3221 1061.5936 1058.8651 1056.1367 1053.4082 1050.6797
 [22,] 1074.3243 1071.5236 1068.7230 1065.9224 1063.1218 1060.3212 1057.5206
 [23,] 1081.7923 1078.9195 1076.0468 1073.1741 1070.3013 1067.4286 1064.5558
 [24,] 1089.4547 1086.5098 1083.5649 1080.6200 1077.6752 1074.7303 1071.7854
 [25,] 1097.3114 1094.2944 1091.2774 1088.2604 1085.2434 1082.2263 1079.2093
 [26,] 1105.3624 1102.2733 1099.1842 1096.0950 1093.0059 1089.9168 1086.8276
 [27,] 1113.6079 1110.4466 1107.2853 1104.1240 1100.9628 1097.8015 1094.6402
 [28,] 1122.0476 1118.8142 1115.5808 1112.3474 1109.1140 1105.8806 1102.6472
 [29,] 1130.6817 1127.3762 1124.0706 1120.7651 1117.4596 1114.1540 1110.8485
 [30,] 1139.5102 1136.1325 1132.7548 1129.3772 1125.9995 1122.6218 1119.2441
 [31,] 1148.5329 1145.0831 1141.6333 1138.1835 1134.7337 1131.2839 1127.8341
 [32,] 1157.7501 1154.2281 1150.7062 1147.1843 1143.6623 1140.1404 1136.6185
 [33,] 1167.1616 1163.5675 1159.9734 1156.3794 1152.7853 1149.1912 1145.5972
 [34,] 1176.7674 1173.1012 1169.4350 1165.7688 1162.1026 1158.4364 1154.7702
 [35,] 1186.5676 1182.8292 1179.0909 1175.3526 1171.6142 1167.8759 1164.1376
 [36,] 1196.5621 1192.7516 1188.9411 1185.1307 1181.3202 1177.5098 1173.6993
 [37,] 1206.7509 1202.8683 1198.9857 1195.1031 1191.2206 1187.3380 1183.4554
 [38,] 1217.1341 1213.1794 1209.2247 1205.2700 1201.3152 1197.3605 1193.4058
 [39,] 1227.7117 1223.6848 1219.6580 1215.6311 1211.6043 1207.5774 1203.5505
 [40,] 1238.4836 1234.3846 1230.2856 1226.1866 1222.0876 1217.9886 1213.8896
 [41,] 1249.4498 1245.2787 1241.1076 1236.9365 1232.7653 1228.5942 1224.4231
 [42,] 1260.6104 1256.3672 1252.1239 1247.8806 1243.6374 1239.3941 1235.1509
 [43,] 1271.9654 1267.6500 1263.3346 1259.0192 1254.7038 1250.3884 1246.0730
 [44,] 1283.5146 1279.1271 1274.7396 1270.3521 1265.9645 1261.5770 1257.1895
 [45,] 1295.2583 1290.7986 1286.3389 1281.8793 1277.4196 1272.9600 1268.5003
 [46,] 1307.1962 1302.6644 1298.1326 1293.6009 1289.0691 1284.5373 1280.0055
 [47,] 1319.3285 1314.7246 1310.1207 1305.5168 1300.9128 1296.3089 1291.7050
 [48,] 1331.6552 1326.9791 1322.3031 1317.6270 1312.9510 1308.2749 1303.5989
 [49,] 1344.1762 1339.4280 1334.6798 1329.9316 1325.1835 1320.4353 1315.6871
 [50,] 1356.8915 1352.0712 1347.2509 1342.4306 1337.6103 1332.7900 1327.9696
 [51,] 1369.8012 1364.9088 1360.0163 1355.1239 1350.2314 1345.3390 1340.4465
 [52,] 1382.9053 1377.9407 1372.9761 1368.0115 1363.0469 1358.0824 1353.1178
 [53,] 1396.2037 1391.1669 1386.1302 1381.0935 1376.0568 1371.0201 1365.9834
 [54,] 1409.6964 1404.5875 1399.4787 1394.3698 1389.2610 1384.1521 1379.0433
 [55,] 1423.3835 1418.2025 1413.0215 1407.8405 1402.6595 1397.4786 1392.2976
 [56,] 1437.2649 1432.0118 1426.7586 1421.5055 1416.2524 1410.9993 1405.7462
 [57,] 1451.3406 1446.0154 1440.6901 1435.3649 1430.0397 1424.7144 1419.3892
 [58,] 1465.6107 1460.2134 1454.8160 1449.4186 1444.0212 1438.6239 1433.2265
 [59,] 1480.0752 1474.6057 1469.1362 1463.6667 1458.1972 1452.7277 1447.2581
 [60,] 1494.7340 1489.1924 1483.6507 1478.1091 1472.5674 1467.0258 1461.4841
 [61,] 1509.5871 1503.9734 1498.3596 1492.7458 1487.1320 1481.5183 1475.9045
 [62,] 1524.6346 1518.9487 1513.2628 1507.5769 1501.8910 1496.2051 1490.5192
 [63,] 1539.8765 1534.1184 1528.3604 1522.6023 1516.8443 1511.0863 1505.3282
 [64,] 1555.3126 1549.4825 1543.6523 1537.8221 1531.9920 1526.1618 1520.3316
 [65,] 1570.9432 1565.0409 1559.1386 1553.2363 1547.3340 1541.4317 1535.5293
 [66,] 1586.7680 1580.7936 1574.8192 1568.8447 1562.8703 1556.8959 1550.9214
 [67,] 1602.7873 1596.7407 1590.6941 1584.6475 1578.6010 1572.5544 1566.5078
 [68,] 1619.0008 1612.8821 1606.7634 1600.6447 1594.5260 1588.4073 1582.2886
 [69,] 1635.4087 1629.2179 1623.0271 1616.8362 1610.6454 1604.4546 1598.2637
 [70,] 1652.0110 1645.7480 1639.4850 1633.2221 1626.9591 1620.6961 1614.4332
 [71,] 1668.8076 1662.4725 1656.1374 1649.8023 1643.4672 1637.1321 1630.7970
 [72,] 1685.7985 1679.3913 1672.9840 1666.5768 1660.1696 1653.7624 1647.3551
 [73,] 1702.9838 1696.5044 1690.0251 1683.5457 1677.0663 1670.5870 1664.1076
 [74,] 1720.3634 1713.8119 1707.2604 1700.7089 1694.1574 1687.6059 1681.0544
 [75,] 1737.9374 1731.3138 1724.6901 1718.0665 1711.4429 1704.8193 1698.1956
 [76,] 1755.7057 1749.0100 1742.3142 1735.6184 1728.9227 1722.2269 1715.5312
 [77,] 1773.6684 1766.9005 1760.1326 1753.3647 1746.5968 1739.8289 1733.0610
 [78,] 1791.8254 1784.9854 1778.1453 1771.3053 1764.4653 1757.6253 1750.7852
 [79,] 1810.1768 1803.2646 1796.3524 1789.4403 1782.5281 1775.6160 1768.7038
 [80,] 1828.7225 1821.7382 1814.7539 1807.7696 1800.7853 1793.8010 1786.8167
 [81,] 1847.4625 1840.4061 1833.3497 1826.2932 1819.2368 1812.1804 1805.1240
 [82,] 1866.3969 1859.2683 1852.1398 1845.0112 1837.8827 1830.7541 1823.6256
 [83,] 1885.5256 1878.3249 1871.1243 1863.9236 1856.7229 1849.5222 1842.3215
 [84,] 1904.8487 1897.5759 1890.3031 1883.0303 1875.7574 1868.4846 1861.2118
 [85,] 1924.3661 1917.0212 1909.6762 1902.3313 1894.9863 1887.6414 1880.2964
 [86,] 1944.0779 1936.6608 1929.2437 1921.8267 1914.4096 1906.9925 1899.5754
 [87,] 1963.9840 1956.4948 1949.0056 1941.5164 1934.0272 1926.5379 1919.0487
 [88,] 1984.0845 1976.5231 1968.9618 1961.4004 1953.8391 1946.2777 1938.7164
 [89,] 2004.3793 1996.7458 1989.1123 1981.4789 1973.8454 1966.2119 1958.5784
 [90,] 2024.8685 2017.1628 2009.4572 2001.7516 1994.0460 1986.3404 1978.6348
 [91,] 2045.5520 2037.7742 2029.9965 2022.2187 2014.4410 2006.6632 1998.8855
 [92,] 2066.4298 2058.5799 2050.7300 2042.8802 2035.0303 2027.1804 2019.3305
 [93,] 2087.5020 2079.5800 2071.6580 2063.7359 2055.8139 2047.8919 2039.9699
 [94,] 2108.7685 2100.7744 2092.7802 2084.7861 2076.7919 2068.7978 2060.8036
 [95,] 2130.2294 2122.1631 2114.0968 2106.0306 2097.9643 2089.8980 2081.8317
 [96,] 2151.8846 2143.7462 2135.6078 2127.4694 2119.3310 2111.1926 2103.0542
 [97,] 2173.7342 2165.5236 2157.3131 2149.1026 2140.8920 2132.6815 2124.4709
 [98,] 2195.7781 2187.4954 2179.2128 2170.9301 2162.6474 2154.3647 2146.0821
 [99,] 2218.0164 2209.6616 2201.3067 2192.9519 2184.5971 2176.2423 2167.8875
           [,43]     [,44]     [,45]     [,46]     [,47]     [,48]     [,49]
  [1,]  953.3886  952.1027  950.8169  949.5311  948.2453  946.9594  945.6736
  [2,]  956.2704  954.9125  953.5545  952.1965  950.8386  949.4806  948.1227
  [3,]  959.3466  957.9165  956.4864  955.0563  953.6263  952.1962  950.7661
  [4,]  962.6172  961.1149  959.6127  958.1105  956.6083  955.1060  953.6038
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  [7,]  973.5949  971.8763  970.1576  968.4390  966.7204  965.0018  963.2831
  [8,]  977.6428  975.8520  974.0613  972.2705  970.4798  968.6890  966.8983
  [9,]  981.8851  980.0222  978.1593  976.2964  974.4335  972.5706  970.7077
 [10,]  986.3217  984.3867  982.4516  980.5166  978.5816  976.6466  974.7116
 [11,]  990.9526  988.9455  986.9383  984.9312  982.9240  980.9169  978.9097
 [12,]  995.7780  993.6987  991.6194  989.5401  987.4608  985.3815  983.3022
 [13,] 1000.7976  998.6462  996.4948  994.3434  992.1919  990.0405  987.8891
 [14,] 1006.0116 1003.7880 1001.5645  999.3409  997.1174  994.8939  992.6703
 [15,] 1011.4199 1009.1243 1006.8286 1004.5329 1002.2372  999.9415  997.6458
 [16,] 1017.0226 1014.6548 1012.2870 1009.9192 1007.5514 1005.1836 1002.8157
 [17,] 1022.8197 1020.3797 1017.9398 1015.4998 1013.0599 1010.6199 1008.1800
 [18,] 1028.8110 1026.2990 1023.7869 1021.2748 1018.7627 1016.2506 1013.7386
 [19,] 1034.9968 1032.4125 1029.8283 1027.2441 1024.6599 1022.0757 1019.4915
 [20,] 1041.3768 1038.7205 1036.0641 1033.4078 1030.7514 1028.0951 1025.4388
 [21,] 1047.9512 1045.2228 1042.4943 1039.7658 1037.0373 1034.3089 1031.5804
 [22,] 1054.7200 1051.9194 1049.1188 1046.3182 1043.5176 1040.7169 1037.9163
 [23,] 1061.6831 1058.8104 1055.9376 1053.0649 1050.1921 1047.3194 1044.4466
 [24,] 1068.8405 1065.8957 1062.9508 1060.0059 1057.0610 1054.1162 1051.1713
 [25,] 1076.1923 1073.1753 1070.1583 1067.1413 1064.1243 1061.1073 1058.0903
 [26,] 1083.7385 1080.6493 1077.5602 1074.4711 1071.3819 1068.2928 1065.2036
 [27,] 1091.4790 1088.3177 1085.1564 1081.9951 1078.8339 1075.6726 1072.5113
 [28,] 1099.4138 1096.1804 1092.9470 1089.7136 1086.4802 1083.2468 1080.0134
 [29,] 1107.5430 1104.2374 1100.9319 1097.6263 1094.3208 1091.0153 1087.7097
 [30,] 1115.8665 1112.4888 1109.1111 1105.7335 1102.3558 1098.9781 1095.6005
 [31,] 1124.3843 1120.9345 1117.4847 1114.0349 1110.5851 1107.1353 1103.6855
 [32,] 1133.0965 1129.5746 1126.0527 1122.5307 1119.0088 1115.4869 1111.9649
 [33,] 1142.0031 1138.4090 1134.8150 1131.2209 1127.6268 1124.0328 1120.4387
 [34,] 1151.1040 1147.4378 1143.7716 1140.1054 1136.4392 1132.7730 1129.1068
 [35,] 1160.3992 1156.6609 1152.9226 1149.1843 1145.4459 1141.7076 1137.9693
 [36,] 1169.8888 1166.0784 1162.2679 1158.4574 1154.6470 1150.8365 1147.0261
 [37,] 1179.5728 1175.6902 1171.8076 1167.9250 1164.0424 1160.1598 1156.2772
 [38,] 1189.4510 1185.4963 1181.5416 1177.5869 1173.6321 1169.6774 1165.7227
 [39,] 1199.5237 1195.4968 1191.4699 1187.4431 1183.4162 1179.3894 1175.3625
 [40,] 1209.7906 1205.6916 1201.5927 1197.4937 1193.3947 1189.2957 1185.1967
 [41,] 1220.2520 1216.0808 1211.9097 1207.7386 1203.5675 1199.3963 1195.2252
 [42,] 1230.9076 1226.6644 1222.4211 1218.1778 1213.9346 1209.6913 1205.4481
 [43,] 1241.7576 1237.4422 1233.1268 1228.8114 1224.4961 1220.1807 1215.8653
 [44,] 1252.8020 1248.4144 1244.0269 1239.6394 1235.2519 1230.8644 1226.4768
 [45,] 1264.0407 1259.5810 1255.1214 1250.6617 1246.2020 1241.7424 1237.2827
 [46,] 1275.4737 1270.9419 1266.4101 1261.8783 1257.3466 1252.8148 1248.2830
 [47,] 1287.1011 1282.4972 1277.8932 1273.2893 1268.6854 1264.0815 1259.4776
 [48,] 1298.9228 1294.2468 1289.5707 1284.8947 1280.2186 1275.5426 1270.8665
 [49,] 1310.9389 1306.1907 1301.4425 1296.6943 1291.9462 1287.1980 1282.4498
 [50,] 1323.1493 1318.3290 1313.5087 1308.6884 1303.8680 1299.0477 1294.2274
 [51,] 1335.5541 1330.6616 1325.7692 1320.8767 1315.9843 1311.0918 1306.1994
 [52,] 1348.1532 1343.1886 1338.2240 1333.2594 1328.2949 1323.3303 1318.3657
 [53,] 1360.9466 1355.9099 1350.8732 1345.8365 1340.7998 1335.7631 1330.7264
 [54,] 1373.9344 1368.8256 1363.7168 1358.6079 1353.4991 1348.3902 1343.2814
 [55,] 1387.1166 1381.9356 1376.7546 1371.5737 1366.3927 1361.2117 1356.0307
 [56,] 1400.4931 1395.2400 1389.9869 1384.7338 1379.4806 1374.2275 1368.9744
 [57,] 1414.0639 1408.7387 1403.4134 1398.0882 1392.7629 1387.4377 1382.1125
 [58,] 1427.8291 1422.4317 1417.0344 1411.6370 1406.2396 1400.8422 1395.4448
 [59,] 1441.7886 1436.3191 1430.8496 1425.3801 1419.9106 1414.4411 1408.9716
 [60,] 1455.9425 1450.4009 1444.8592 1439.3176 1433.7759 1428.2343 1422.6927
 [61,] 1470.2907 1464.6769 1459.0632 1453.4494 1447.8356 1442.2219 1436.6081
 [62,] 1484.8333 1479.1474 1473.4615 1467.7756 1462.0897 1456.4038 1450.7178
 [63,] 1499.5702 1493.8122 1488.0541 1482.2961 1476.5380 1470.7800 1465.0220
 [64,] 1514.5014 1508.6713 1502.8411 1497.0109 1491.1808 1485.3506 1479.5204
 [65,] 1529.6270 1523.7247 1517.8224 1511.9201 1506.0178 1500.1155 1494.2132
 [66,] 1544.9470 1538.9725 1532.9981 1527.0237 1521.0492 1515.0748 1509.1004
 [67,] 1560.4613 1554.4147 1548.3681 1542.3216 1536.2750 1530.2284 1524.1819
 [68,] 1576.1699 1570.0512 1563.9325 1557.8138 1551.6951 1545.5764 1539.4577
 [69,] 1592.0729 1585.8821 1579.6912 1573.5004 1567.3095 1561.1187 1554.9279
 [70,] 1608.1702 1601.9072 1595.6443 1589.3813 1583.1183 1576.8554 1570.5924
 [71,] 1624.4619 1618.1268 1611.7917 1605.4566 1599.1215 1592.7864 1586.4513
 [72,] 1640.9479 1634.5407 1628.1334 1621.7262 1615.3190 1608.9117 1602.5045
 [73,] 1657.6282 1651.1489 1644.6695 1638.1902 1631.7108 1625.2314 1618.7521
 [74,] 1674.5030 1667.9515 1661.4000 1654.8485 1648.2970 1641.7455 1635.1940
 [75,] 1691.5720 1684.9484 1678.3247 1671.7011 1665.0775 1658.4539 1651.8302
 [76,] 1708.8354 1702.1396 1695.4439 1688.7481 1682.0524 1675.3566 1668.6608
 [77,] 1726.2931 1719.5252 1712.7573 1705.9895 1699.2216 1692.4537 1685.6858
 [78,] 1743.9452 1737.1052 1730.2652 1723.4251 1716.5851 1709.7451 1702.9051
 [79,] 1761.7916 1754.8795 1747.9673 1741.0552 1734.1430 1727.2309 1720.3187
 [80,] 1779.8324 1772.8481 1765.8638 1758.8795 1751.8953 1744.9110 1737.9267
 [81,] 1798.0675 1791.0111 1783.9547 1776.8983 1769.8418 1762.7854 1755.7290
 [82,] 1816.4970 1809.3685 1802.2399 1795.1113 1787.9828 1780.8542 1773.7257
 [83,] 1835.1208 1827.9201 1820.7194 1813.5188 1806.3181 1799.1174 1791.9167
 [84,] 1853.9390 1846.6662 1839.3933 1832.1205 1824.8477 1817.5749 1810.3020
 [85,] 1872.9515 1865.6065 1858.2616 1850.9166 1843.5717 1836.2267 1828.8818
 [86,] 1892.1583 1884.7412 1877.3241 1869.9071 1862.4900 1855.0729 1847.6558
 [87,] 1911.5595 1904.0703 1896.5811 1889.0919 1881.6026 1874.1134 1866.6242
 [88,] 1931.1550 1923.5937 1916.0323 1908.4710 1900.9096 1893.3483 1885.7869
 [89,] 1950.9449 1943.3114 1935.6780 1928.0445 1920.4110 1912.7775 1905.1440
 [90,] 1970.9291 1963.2235 1955.5179 1947.8123 1940.1067 1932.4011 1924.6955
 [91,] 1991.1077 1983.3300 1975.5522 1967.7745 1959.9967 1952.2190 1944.4412
 [92,] 2011.4806 2003.6308 1995.7809 1987.9310 1980.0811 1972.2312 1964.3814
 [93,] 2032.0479 2024.1259 2016.2039 2008.2819 2000.3598 1992.4378 1984.5158
 [94,] 2052.8095 2044.8154 2036.8212 2028.8271 2020.8329 2012.8388 2004.8446
 [95,] 2073.7655 2065.6992 2057.6329 2049.5666 2041.5003 2033.4341 2025.3678
 [96,] 2094.9158 2086.7773 2078.6389 2070.5005 2062.3621 2054.2237 2046.0853
 [97,] 2116.2604 2108.0499 2099.8393 2091.6288 2083.4182 2075.2077 2066.9971
 [98,] 2137.7994 2129.5167 2121.2340 2112.9514 2104.6687 2096.3860 2088.1033
 [99,] 2159.5327 2151.1779 2142.8231 2134.4683 2126.1135 2117.7587 2109.4039
           [,50]     [,51]     [,52]     [,53]     [,54]     [,55]     [,56]
  [1,]  944.3878  943.1019  941.8161  940.5303  939.2445  937.9586  936.6728
  [2,]  946.7647  945.4067  944.0488  942.6908  941.3329  939.9749  938.6169
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  [6,]  958.2159  956.5694  954.9229  953.2764  951.6299  949.9834  948.3369
  [7,]  961.5645  959.8459  958.1273  956.4086  954.6900  952.9714  951.2528
  [8,]  965.1075  963.3168  961.5260  959.7352  957.9445  956.1537  954.3630
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 [15,]  995.3502  993.0545  990.7588  988.4631  986.1674  983.8718  981.5761
 [16,] 1000.4479  998.0801  995.7123  993.3445  990.9767  988.6089  986.2410
 [17,] 1005.7400 1003.3001 1000.8601  998.4202  995.9802  993.5403  991.1003
 [18,] 1011.2265 1008.7144 1006.2023 1003.6902 1001.1782  998.6661  996.1540
 [19,] 1016.9073 1014.3231 1011.7388 1009.1546 1006.5704 1003.9862 1001.4020
 [20,] 1022.7824 1020.1261 1017.4697 1014.8134 1012.1570 1009.5007 1006.8443
 [21,] 1028.8519 1026.1234 1023.3949 1020.6665 1017.9380 1015.2095 1012.4810
 [22,] 1035.1157 1032.3151 1029.5145 1026.7139 1023.9133 1021.1127 1018.3121
 [23,] 1041.5739 1038.7012 1035.8284 1032.9557 1030.0829 1027.2102 1024.3375
 [24,] 1048.2264 1045.2815 1042.3367 1039.3918 1036.4469 1033.5021 1030.5572
 [25,] 1055.0733 1052.0563 1049.0393 1046.0223 1043.0053 1039.9883 1036.9712
 [26,] 1062.1145 1059.0254 1055.9362 1052.8471 1049.7579 1046.6688 1043.5797
 [27,] 1069.3501 1066.1888 1063.0275 1059.8662 1056.7050 1053.5437 1050.3824
 [28,] 1076.7800 1073.5466 1070.3131 1067.0797 1063.8463 1060.6129 1057.3795
 [29,] 1084.4042 1081.0987 1077.7931 1074.4876 1071.1821 1067.8765 1064.5710
 [30,] 1092.2228 1088.8451 1085.4675 1082.0898 1078.7121 1075.3344 1071.9568
 [31,] 1100.2357 1096.7859 1093.3361 1089.8863 1086.4365 1082.9867 1079.5369
 [32,] 1108.4430 1104.9211 1101.3991 1097.8772 1094.3553 1090.8333 1087.3114
 [33,] 1116.8446 1113.2506 1109.6565 1106.0624 1102.4684 1098.8743 1095.2802
 [34,] 1125.4406 1121.7744 1118.1082 1114.4420 1110.7758 1107.1096 1103.4434
 [35,] 1134.2309 1130.4926 1126.7543 1123.0159 1119.2776 1115.5393 1111.8009
 [36,] 1143.2156 1139.4051 1135.5947 1131.7842 1127.9737 1124.1633 1120.3528
 [37,] 1152.3946 1148.5120 1144.6294 1140.7468 1136.8642 1132.9816 1129.0990
 [38,] 1161.7679 1157.8132 1153.8585 1149.9038 1145.9490 1141.9943 1138.0396
 [39,] 1171.3356 1167.3088 1163.2819 1159.2551 1155.2282 1151.2013 1147.1745
 [40,] 1181.0977 1176.9987 1172.8997 1168.8007 1164.7017 1160.6027 1156.5037
 [41,] 1191.0541 1186.8829 1182.7118 1178.5407 1174.3696 1170.1984 1166.0273
 [42,] 1201.2048 1196.9615 1192.7183 1188.4750 1184.2318 1179.9885 1175.7453
 [43,] 1211.5499 1207.2345 1202.9191 1198.6037 1194.2883 1189.9729 1185.6575
 [44,] 1222.0893 1217.7018 1213.3143 1208.9267 1204.5392 1200.1517 1195.7642
 [45,] 1232.8231 1228.3634 1223.9038 1219.4441 1214.9845 1210.5248 1206.0651
 [46,] 1243.7512 1239.2194 1234.6876 1230.1558 1225.6240 1221.0922 1216.5605
 [47,] 1254.8736 1250.2697 1245.6658 1241.0619 1236.4580 1231.8540 1227.2501
 [48,] 1266.1905 1261.5144 1256.8383 1252.1623 1247.4862 1242.8102 1238.1341
 [49,] 1277.7016 1272.9534 1268.2052 1263.4570 1258.7089 1253.9607 1249.2125
 [50,] 1289.4071 1284.5868 1279.7665 1274.9461 1270.1258 1265.3055 1260.4852
 [51,] 1301.3069 1296.4145 1291.5220 1286.6296 1281.7371 1276.8447 1271.9522
 [52,] 1313.4011 1308.4365 1303.4720 1298.5074 1293.5428 1288.5782 1283.6136
 [53,] 1325.6896 1320.6529 1315.6162 1310.5795 1305.5428 1300.5061 1295.4694
 [54,] 1338.1725 1333.0637 1327.9548 1322.8460 1317.7371 1312.6283 1307.5194
 [55,] 1350.8497 1345.6688 1340.4878 1335.3068 1330.1258 1324.9448 1319.7639
 [56,] 1363.7213 1358.4682 1353.2151 1347.9620 1342.7089 1337.4557 1332.2026
 [57,] 1376.7872 1371.4620 1366.1367 1360.8115 1355.4862 1350.1610 1344.8357
 [58,] 1390.0475 1384.6501 1379.2527 1373.8553 1368.4580 1363.0606 1357.6632
 [59,] 1403.5021 1398.0326 1392.5630 1387.0935 1381.6240 1376.1545 1370.6850
 [60,] 1417.1510 1411.6094 1406.0677 1400.5261 1394.9844 1389.4428 1383.9012
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 [86,] 1840.2387 1832.8216 1825.4045 1817.9875 1810.5704 1803.1533 1795.7362
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 [88,] 1878.2256 1870.6642 1863.1029 1855.5415 1847.9802 1840.4188 1832.8575
 [89,] 1897.5105 1889.8771 1882.2436 1874.6101 1866.9766 1859.3431 1851.7096
 [90,] 1916.9898 1909.2842 1901.5786 1893.8730 1886.1674 1878.4618 1870.7562
 [91,] 1936.6635 1928.8857 1921.1080 1913.3302 1905.5525 1897.7747 1889.9970
 [92,] 1956.5315 1948.6816 1940.8317 1932.9818 1925.1320 1917.2821 1909.4322
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 [94,] 1996.8505 1988.8563 1980.8622 1972.8681 1964.8739 1956.8798 1948.8856
 [95,] 2017.3015 2009.2352 2001.1690 1993.1027 1985.0364 1976.9701 1968.9038
 [96,] 2037.9469 2029.8085 2021.6701 2013.5317 2005.3932 1997.2548 1989.1164
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           [,57]     [,58]     [,59]     [,60]     [,61]     [,62]     [,63]
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 [32,] 1083.7895 1080.2675 1076.7456 1073.2237 1069.7017 1066.1798 1062.6579
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 [43,] 1181.3422 1177.0268 1172.7114 1168.3960 1164.0806 1159.7652 1155.4498
 [44,] 1191.3766 1186.9891 1182.6016 1178.2141 1173.8266 1169.4390 1165.0515
 [45,] 1201.6055 1197.1458 1192.6862 1188.2265 1183.7669 1179.3072 1174.8476
 [46,] 1212.0287 1207.4969 1202.9651 1198.4333 1193.9015 1189.3697 1184.8379
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 [49,] 1244.4643 1239.7161 1234.9679 1230.2197 1225.4716 1220.7234 1215.9752
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 [51,] 1267.0598 1262.1673 1257.2749 1252.3824 1247.4900 1242.5975 1237.7051
 [52,] 1278.6490 1273.6845 1268.7199 1263.7553 1258.7907 1253.8261 1248.8615
 [53,] 1290.4326 1285.3959 1280.3592 1275.3225 1270.2858 1265.2491 1260.2124
 [54,] 1302.4106 1297.3017 1292.1929 1287.0840 1281.9752 1276.8664 1271.7575
 [55,] 1314.5829 1309.4019 1304.2209 1299.0399 1293.8590 1288.6780 1283.4970
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 [58,] 1352.2658 1346.8685 1341.4711 1336.0737 1330.6763 1325.2789 1319.8816
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 [61,] 1391.6979 1386.0841 1380.4703 1374.8566 1369.2428 1363.6290 1358.0152
 [62,] 1405.2306 1399.5447 1393.8588 1388.1729 1382.4870 1376.8011 1371.1151
 [63,] 1418.9576 1413.1996 1407.4416 1401.6835 1395.9255 1390.1674 1384.4094
 [64,] 1432.8790 1427.0489 1421.2187 1415.3885 1409.5584 1403.7282 1397.8980
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 [66,] 1461.3049 1455.3304 1449.3560 1443.3816 1437.4071 1431.4327 1425.4583
 [67,] 1475.8093 1469.7627 1463.7162 1457.6696 1451.6230 1445.5765 1439.5299
 [68,] 1490.5081 1484.3894 1478.2707 1472.1520 1466.0333 1459.9146 1453.7959
 [69,] 1505.4012 1499.2104 1493.0195 1486.8287 1480.6379 1474.4470 1468.2562
 [70,] 1520.4887 1514.2257 1507.9627 1501.6998 1495.4368 1489.1738 1482.9109
 [71,] 1535.7705 1529.4354 1523.1003 1516.7652 1510.4301 1504.0950 1497.7599
 [72,] 1551.2467 1544.8394 1538.4322 1532.0250 1525.6177 1519.2105 1512.8033
 [73,] 1566.9172 1560.4378 1553.9584 1547.4791 1540.9997 1534.5203 1528.0410
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 [76,] 1615.0947 1608.3990 1601.7032 1595.0075 1588.3117 1581.6159 1574.9202
 [77,] 1631.5426 1624.7747 1618.0068 1611.2389 1604.4711 1597.7032 1590.9353
 [78,] 1648.1849 1641.3448 1634.5048 1627.6648 1620.8248 1613.9847 1607.1447
 [79,] 1665.0214 1658.1093 1651.1971 1644.2850 1637.3728 1630.4606 1623.5485
 [80,] 1682.0524 1675.0681 1668.0838 1661.0995 1654.1152 1647.1309 1640.1466
 [81,] 1699.2776 1692.2212 1685.1648 1678.1083 1671.0519 1663.9955 1656.9391
 [82,] 1716.6972 1709.5687 1702.4401 1695.3116 1688.1830 1681.0544 1673.9259
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 [86,] 1788.3191 1780.9020 1773.4850 1766.0679 1758.6508 1751.2337 1743.8166
 [87,] 1806.7105 1799.2212 1791.7320 1784.2428 1776.7536 1769.2644 1761.7752
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 [89,] 1844.0762 1836.4427 1828.8092 1821.1757 1813.5422 1805.9088 1798.2753
 [90,] 1863.0505 1855.3449 1847.6393 1839.9337 1832.2281 1824.5225 1816.8168
 [91,] 1882.2193 1874.4415 1866.6638 1858.8860 1851.1083 1843.3305 1835.5528
 [92,] 1901.5823 1893.7324 1885.8826 1878.0327 1870.1828 1862.3329 1854.4830
 [93,] 1921.1397 1913.2177 1905.2957 1897.3737 1889.4517 1881.5297 1873.6076
 [94,] 1940.8915 1932.8973 1924.9032 1916.9090 1908.9149 1900.9208 1892.9266
 [95,] 1960.8376 1952.7713 1944.7050 1936.6387 1928.5725 1920.5062 1912.4399
 [96,] 1980.9780 1972.8396 1964.7012 1956.5628 1948.4244 1940.2860 1932.1476
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 [98,] 2021.8419 2013.5593 2005.2766 1996.9939 1988.7112 1980.4286 1972.1459
 [99,] 2042.5654 2034.2106 2025.8558 2017.5010 2009.1462 2000.7914 1992.4366
           [,64]     [,65]     [,66]     [,67]     [,68]     [,69]     [,70]
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 [28,] 1031.5123 1028.2789 1025.0455 1021.8121 1018.5787 1015.3453 1012.1119
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 [31,] 1051.9385 1048.4887 1045.0389 1041.5891 1038.1393 1034.6895 1031.2397
 [32,] 1059.1359 1055.6140 1052.0921 1048.5701 1045.0482 1041.5263 1038.0043
 [33,] 1066.5277 1062.9336 1059.3396 1055.7455 1052.1514 1048.5574 1044.9633
 [34,] 1074.1138 1070.4476 1066.7814 1063.1152 1059.4490 1055.7828 1052.1166
 [35,] 1081.8943 1078.1560 1074.4176 1070.6793 1066.9410 1063.2026 1059.4643
 [36,] 1089.8691 1086.0586 1082.2482 1078.4377 1074.6272 1070.8168 1067.0063
 [37,] 1098.0383 1094.1557 1090.2731 1086.3905 1082.5079 1078.6253 1074.7427
 [38,] 1106.4018 1102.4470 1098.4923 1094.5376 1090.5828 1086.6281 1082.6734
 [39,] 1114.9596 1110.9327 1106.9059 1102.8790 1098.8522 1094.8253 1090.7984
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 [41,] 1132.6583 1128.4872 1124.3161 1120.1449 1115.9738 1111.8027 1107.6316
 [42,] 1141.7992 1137.5559 1133.3127 1129.0694 1124.8262 1120.5829 1116.3396
 [43,] 1151.1344 1146.8190 1142.5036 1138.1882 1133.8729 1129.5575 1125.2421
 [44,] 1160.6640 1156.2765 1151.8889 1147.5014 1143.1139 1138.7264 1134.3388
 [45,] 1170.3879 1165.9282 1161.4686 1157.0089 1152.5493 1148.0896 1143.6300
 [46,] 1180.3062 1175.7744 1171.2426 1166.7108 1162.1790 1157.6472 1153.1154
 [47,] 1190.4188 1185.8148 1181.2109 1176.6070 1172.0031 1167.3992 1162.7952
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 [49,] 1211.2270 1206.4788 1201.7306 1196.9825 1192.2343 1187.4861 1182.7379
 [50,] 1221.9226 1217.1023 1212.2820 1207.4617 1202.6414 1197.8211 1193.0007
 [51,] 1232.8126 1227.9202 1223.0277 1218.1353 1213.2428 1208.3504 1203.4579
 [52,] 1243.8970 1238.9324 1233.9678 1229.0032 1224.0386 1219.0740 1214.1095
 [53,] 1255.1756 1250.1389 1245.1022 1240.0655 1235.0288 1229.9921 1224.9553
 [54,] 1266.6487 1261.5398 1256.4310 1251.3221 1246.2133 1241.1044 1235.9956
 [55,] 1278.3160 1273.1350 1267.9541 1262.7731 1257.5921 1252.4111 1247.2301
 [56,] 1290.1777 1284.9246 1279.6715 1274.4184 1269.1653 1263.9122 1258.6591
 [57,] 1302.2338 1296.9085 1291.5833 1286.2581 1280.9328 1275.6076 1270.2823
 [58,] 1314.4842 1309.0868 1303.6894 1298.2921 1292.8947 1287.4973 1282.0999
 [59,] 1326.9289 1321.4594 1315.9899 1310.5204 1305.0509 1299.5814 1294.1119
 [60,] 1339.5680 1334.0264 1328.4847 1322.9431 1317.4015 1311.8598 1306.3182
 [61,] 1352.4015 1346.7877 1341.1739 1335.5601 1329.9464 1324.3326 1318.7188
 [62,] 1365.4292 1359.7433 1354.0574 1348.3715 1342.6856 1336.9997 1331.3138
 [63,] 1378.6514 1372.8933 1367.1353 1361.3772 1355.6192 1349.8612 1344.1031
 [64,] 1392.0678 1386.2377 1380.4075 1374.5773 1368.7472 1362.9170 1357.0868
 [65,] 1405.6787 1399.7764 1393.8740 1387.9717 1382.0694 1376.1671 1370.2648
 [66,] 1419.4838 1413.5094 1407.5349 1401.5605 1395.5861 1389.6116 1383.6372
 [67,] 1433.4833 1427.4368 1421.3902 1415.3436 1409.2970 1403.2505 1397.2039
 [68,] 1447.6772 1441.5585 1435.4398 1429.3211 1423.2024 1417.0837 1410.9650
 [69,] 1462.0654 1455.8745 1449.6837 1443.4929 1437.3020 1431.1112 1424.9204
 [70,] 1476.6479 1470.3849 1464.1220 1457.8590 1451.5960 1445.3331 1439.0701
 [71,] 1491.4248 1485.0897 1478.7546 1472.4195 1466.0844 1459.7493 1453.4142
 [72,] 1506.3960 1499.9888 1493.5816 1487.1743 1480.7671 1474.3599 1467.9526
 [73,] 1521.5616 1515.0822 1508.6029 1502.1235 1495.6442 1489.1648 1482.6854
 [74,] 1536.9215 1530.3700 1523.8185 1517.2670 1510.7155 1504.1641 1497.6126
 [75,] 1552.4758 1545.8522 1539.2285 1532.6049 1525.9813 1519.3577 1512.7340
 [76,] 1568.2244 1561.5287 1554.8329 1548.1371 1541.4414 1534.7456 1528.0498
 [77,] 1584.1674 1577.3995 1570.6316 1563.8637 1557.0958 1550.3279 1543.5600
 [78,] 1600.3047 1593.4646 1586.6246 1579.7846 1572.9446 1566.1045 1559.2645
 [79,] 1616.6363 1609.7242 1602.8120 1595.8998 1588.9877 1582.0755 1575.1634
 [80,] 1633.1623 1626.1780 1619.1937 1612.2094 1605.2252 1598.2409 1591.2566
 [81,] 1649.8827 1642.8262 1635.7698 1628.7134 1621.6570 1614.6005 1607.5441
 [82,] 1666.7973 1659.6688 1652.5402 1645.4117 1638.2831 1631.1546 1624.0260
 [83,] 1683.9064 1676.7057 1669.5050 1662.3043 1655.1036 1647.9029 1640.7022
 [84,] 1701.2097 1693.9369 1686.6641 1679.3913 1672.1185 1664.8456 1657.5728
 [85,] 1718.7075 1711.3625 1704.0176 1696.6726 1689.3276 1681.9827 1674.6377
 [86,] 1736.3995 1728.9824 1721.5654 1714.1483 1706.7312 1699.3141 1691.8970
 [87,] 1754.2859 1746.7967 1739.3075 1731.8183 1724.3291 1716.8398 1709.3506
 [88,] 1772.3667 1764.8053 1757.2440 1749.6826 1742.1213 1734.5599 1726.9986
 [89,] 1790.6418 1783.0083 1775.3748 1767.7413 1760.1079 1752.4744 1744.8409
 [90,] 1809.1112 1801.4056 1793.7000 1785.9944 1778.2888 1770.5832 1762.8775
 [91,] 1827.7750 1819.9973 1812.2195 1804.4418 1796.6640 1788.8863 1781.1085
 [92,] 1846.6332 1838.7833 1830.9334 1823.0835 1815.2336 1807.3838 1799.5339
 [93,] 1865.6856 1857.7636 1849.8416 1841.9196 1833.9976 1826.0756 1818.1536
 [94,] 1884.9325 1876.9383 1868.9442 1860.9500 1852.9559 1844.9617 1836.9676
 [95,] 1904.3736 1896.3074 1888.2411 1880.1748 1872.1085 1864.0422 1855.9760
 [96,] 1924.0091 1915.8707 1907.7323 1899.5939 1891.4555 1883.3171 1875.1787
 [97,] 1943.8390 1935.6285 1927.4179 1919.2074 1910.9968 1902.7863 1894.5758
 [98,] 1963.8632 1955.5805 1947.2979 1939.0152 1930.7325 1922.4498 1914.1672
 [99,] 1984.0818 1975.7270 1967.3721 1959.0173 1950.6625 1942.3077 1933.9529
           [,71]     [,72]     [,73]     [,74]     [,75]     [,76]     [,77]
  [1,]  917.3854  916.0996  914.8137  913.5279  912.2421  910.9562  909.6704
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  [3,]  919.3040  917.8739  916.4438  915.0137  913.5837  912.1536  910.7235
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  [8,]  927.5017  925.7109  923.9201  922.1294  920.3386  918.5479  916.7571
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 [10,]  932.1411  930.2061  928.2711  926.3361  924.4010  922.4660  920.5310
 [11,]  934.7524  932.7452  930.7381  928.7309  926.7238  924.7166  922.7095
 [12,]  937.5580  935.4787  933.3994  931.3201  929.2408  927.1616  925.0823
 [13,]  940.5579  938.4065  936.2551  934.1037  931.9522  929.8008  927.6494
 [14,]  943.7522  941.5287  939.3051  937.0816  934.8580  932.6345  930.4109
 [15,]  947.1408  944.8452  942.5495  940.2538  937.9581  935.6624  933.3667
 [16,]  950.7238  948.3560  945.9882  943.6204  941.2526  938.8847  936.5169
 [17,]  954.5011  952.0612  949.6212  947.1813  944.7414  942.3014  939.8615
 [18,]  958.4728  955.9607  953.4487  950.9366  948.4245  945.9124  943.4003
 [19,]  962.6388  960.0546  957.4704  954.8862  952.3020  949.7178  947.1336
 [20,]  966.9992  964.3428  961.6865  959.0301  956.3738  953.7175  951.0611
 [21,]  971.5539  968.8254  966.0969  963.3685  960.6400  957.9115  955.1830
 [22,]  976.3029  973.5023  970.7017  967.9011  965.1005  962.2999  959.4993
 [23,]  981.2463  978.3736  975.5008  972.6281  969.7554  966.8826  964.0099
 [24,]  986.3841  983.4392  980.4943  977.5494  974.6046  971.6597  968.7148
 [25,]  991.7162  988.6991  985.6821  982.6651  979.6481  976.6311  973.6141
 [26,]  997.2426  994.1534  991.0643  987.9752  984.8860  981.7969  978.7077
 [27,] 1002.9634  999.8021  996.6408  993.4795  990.3183  987.1570  983.9957
 [28,] 1008.8785 1005.6451 1002.4117  999.1783  995.9449  992.7115  989.4781
 [29,] 1014.9879 1011.6824 1008.3769 1005.0713 1001.7658  998.4603  995.1547
 [30,] 1021.2917 1017.9141 1014.5364 1011.1587 1007.7811 1004.4034 1001.0257
 [31,] 1027.7899 1024.3401 1020.8903 1017.4405 1013.9907 1010.5409 1007.0911
 [32,] 1034.4824 1030.9605 1027.4385 1023.9166 1020.3947 1016.8727 1013.3508
 [33,] 1041.3693 1037.7752 1034.1811 1030.5871 1026.9930 1023.3989 1019.8049
 [34,] 1048.4504 1044.7842 1041.1180 1037.4518 1033.7856 1030.1194 1026.4532
 [35,] 1055.7260 1051.9876 1048.2493 1044.5110 1040.7727 1037.0343 1033.2960
 [36,] 1063.1959 1059.3854 1055.5749 1051.7645 1047.9540 1044.1435 1040.3331
 [37,] 1070.8601 1066.9775 1063.0949 1059.2123 1055.3297 1051.4471 1047.5645
 [38,] 1078.7187 1074.7639 1070.8092 1066.8545 1062.8997 1058.9450 1054.9903
 [39,] 1086.7716 1082.7447 1078.7178 1074.6910 1070.6641 1066.6373 1062.6104
 [40,] 1095.0188 1090.9198 1086.8208 1082.7219 1078.6229 1074.5239 1070.4249
 [41,] 1103.4604 1099.2893 1095.1182 1090.9471 1086.7759 1082.6048 1078.4337
 [42,] 1112.0964 1107.8531 1103.6099 1099.3666 1095.1234 1090.8801 1086.6368
 [43,] 1120.9267 1116.6113 1112.2959 1107.9805 1103.6651 1099.3497 1095.0343
 [44,] 1129.9513 1125.5638 1121.1763 1116.7888 1112.4012 1108.0137 1103.6262
 [45,] 1139.1703 1134.7107 1130.2510 1125.7913 1121.3317 1116.8720 1112.4124
 [46,] 1148.5836 1144.0519 1139.5201 1134.9883 1130.4565 1125.9247 1121.3929
 [47,] 1158.1913 1153.5874 1148.9835 1144.3796 1139.7756 1135.1717 1130.5678
 [48,] 1167.9933 1163.3173 1158.6412 1153.9652 1149.2891 1144.6131 1139.9370
 [49,] 1177.9897 1173.2415 1168.4933 1163.7452 1158.9970 1154.2488 1149.5006
 [50,] 1188.1804 1183.3601 1178.5398 1173.7195 1168.8992 1164.0788 1159.2585
 [51,] 1198.5655 1193.6730 1188.7806 1183.8881 1178.9957 1174.1032 1169.2108
 [52,] 1209.1449 1204.1803 1199.2157 1194.2511 1189.2866 1184.3220 1179.3574
 [53,] 1219.9186 1214.8819 1209.8452 1204.8085 1199.7718 1194.7351 1189.6983
 [54,] 1230.8867 1225.7779 1220.6690 1215.5602 1210.4513 1205.3425 1200.2336
 [55,] 1242.0492 1236.8682 1231.6872 1226.5062 1221.3252 1216.1443 1210.9633
 [56,] 1253.4059 1248.1528 1242.8997 1237.6466 1232.3935 1227.1404 1221.8873
 [57,] 1264.9571 1259.6318 1254.3066 1248.9813 1243.6561 1238.3309 1233.0056
 [58,] 1276.7025 1271.3052 1265.9078 1260.5104 1255.1130 1249.7157 1244.3183
 [59,] 1288.6424 1283.1729 1277.7033 1272.2338 1266.7643 1261.2948 1255.8253
 [60,] 1300.7765 1295.2349 1289.6932 1284.1516 1278.6100 1273.0683 1267.5267
 [61,] 1313.1050 1307.4913 1301.8775 1296.2637 1290.6499 1285.0362 1279.4224
 [62,] 1325.6279 1319.9420 1314.2561 1308.5702 1302.8843 1297.1984 1291.5125
 [63,] 1338.3451 1332.5871 1326.8290 1321.0710 1315.3129 1309.5549 1303.7969
 [64,] 1351.2566 1345.4265 1339.5963 1333.7661 1327.9359 1322.1058 1316.2756
 [65,] 1364.3625 1358.4602 1352.5579 1346.6556 1340.7533 1334.8510 1328.9487
 [66,] 1377.6628 1371.6883 1365.7139 1359.7395 1353.7650 1347.7906 1341.8161
 [67,] 1391.1573 1385.1108 1379.0642 1373.0176 1366.9711 1360.9245 1354.8779
 [68,] 1404.8463 1398.7276 1392.6089 1386.4902 1380.3715 1374.2528 1368.1341
 [69,] 1418.7295 1412.5387 1406.3479 1400.1570 1393.9662 1387.7754 1381.5845
 [70,] 1432.8071 1426.5442 1420.2812 1414.0183 1407.7553 1401.4923 1395.2294
 [71,] 1447.0791 1440.7440 1434.4089 1428.0738 1421.7387 1415.4036 1409.0685
 [72,] 1461.5454 1455.1382 1448.7310 1442.3237 1435.9165 1429.5093 1423.1020
 [73,] 1476.2061 1469.7267 1463.2473 1456.7680 1450.2886 1443.8092 1437.3299
 [74,] 1491.0611 1484.5096 1477.9581 1471.4066 1464.8551 1458.3036 1451.7521
 [75,] 1506.1104 1499.4868 1492.8631 1486.2395 1479.6159 1472.9923 1466.3686
 [76,] 1521.3541 1514.6583 1507.9626 1501.2668 1494.5710 1487.8753 1481.1795
 [77,] 1536.7921 1530.0242 1523.2563 1516.4884 1509.7205 1502.9527 1496.1848
 [78,] 1552.4245 1545.5845 1538.7444 1531.9044 1525.0644 1518.2244 1511.3843
 [79,] 1568.2512 1561.3391 1554.4269 1547.5147 1540.6026 1533.6904 1526.7783
 [80,] 1584.2723 1577.2880 1570.3037 1563.3194 1556.3351 1549.3508 1542.3665
 [81,] 1600.4877 1593.4313 1586.3748 1579.3184 1572.2620 1565.2056 1558.1492
 [82,] 1616.8974 1609.7689 1602.6403 1595.5118 1588.3832 1581.2547 1574.1261
 [83,] 1633.5016 1626.3009 1619.1002 1611.8995 1604.6988 1597.4981 1590.2974
 [84,] 1650.3000 1643.0272 1635.7544 1628.4815 1621.2087 1613.9359 1606.6631
 [85,] 1667.2928 1659.9478 1652.6029 1645.2579 1637.9130 1630.5680 1623.2231
 [86,] 1684.4799 1677.0628 1669.6458 1662.2287 1654.8116 1647.3945 1639.9774
 [87,] 1701.8614 1694.3722 1686.8830 1679.3938 1671.9045 1664.4153 1656.9261
 [88,] 1719.4372 1711.8759 1704.3145 1696.7532 1689.1918 1681.6305 1674.0691
 [89,] 1737.2074 1729.5739 1721.9404 1714.3070 1706.6735 1699.0400 1691.4065
 [90,] 1755.1719 1747.4663 1739.7607 1732.0551 1724.3495 1716.6438 1708.9382
 [91,] 1773.3308 1765.5530 1757.7753 1749.9975 1742.2198 1734.4420 1726.6643
 [92,] 1791.6840 1783.8341 1775.9842 1768.1344 1760.2845 1752.4346 1744.5847
 [93,] 1810.2315 1802.3095 1794.3875 1786.4655 1778.5435 1770.6215 1762.6995
 [94,] 1828.9734 1820.9793 1812.9852 1804.9910 1796.9969 1789.0027 1781.0086
 [95,] 1847.9097 1839.8434 1831.7771 1823.7109 1815.6446 1807.5783 1799.5120
 [96,] 1867.0403 1858.9019 1850.7635 1842.6250 1834.4866 1826.3482 1818.2098
 [97,] 1886.3652 1878.1547 1869.9441 1861.7336 1853.5230 1845.3125 1837.1020
 [98,] 1905.8845 1897.6018 1889.3191 1881.0365 1872.7538 1864.4711 1856.1884
 [99,] 1925.5981 1917.2433 1908.8885 1900.5337 1892.1789 1883.8241 1875.4693
           [,78]     [,79]     [,80]     [,81]     [,82]     [,83]     [,84]
  [1,]  908.3846  907.0988  905.8129  904.5271  903.2413  901.9554  900.6696
  [2,]  908.7418  907.3838  906.0259  904.6679  903.3100  901.9520  900.5940
  [3,]  909.2934  907.8633  906.4332  905.0031  903.5730  902.1429  900.7128
  [4,]  910.0393  908.5371  907.0348  905.5326  904.0304  902.5282  901.0259
  [5,]  910.9795  909.4052  907.8308  906.2565  904.6821  903.1077  901.5334
  [6,]  912.1141  910.4676  908.8212  907.1747  905.5282  903.8817  902.2352
  [7,]  913.4431  911.7245  910.0058  908.2872  906.5686  904.8500  903.1313
  [8,]  914.9664  913.1756  911.3849  909.5941  907.8034  906.0126  904.2218
  [9,]  916.6840  914.8211  912.9582  911.0953  909.2325  907.3696  905.5067
 [10,]  918.5960  916.6610  914.7259  912.7909  910.8559  908.9209  906.9859
 [11,]  920.7023  918.6952  916.6880  914.6809  912.6737  910.6665  908.6594
 [12,]  923.0030  920.9237  918.8444  916.7651  914.6858  912.6066  910.5273
 [13,]  925.4980  923.3466  921.1952  919.0437  916.8923  914.7409  912.5895
 [14,]  928.1874  925.9638  923.7403  921.5167  919.2932  917.0696  914.8461
 [15,]  931.0711  928.7754  926.4797  924.1840  921.8883  919.5927  917.2970
 [16,]  934.1491  931.7813  929.4135  927.0457  924.6779  922.3100  919.9422
 [17,]  937.4215  934.9816  932.5416  930.1017  927.6617  925.2218  922.7818
 [18,]  940.8883  938.3762  935.8641  933.3520  930.8399  928.3279  925.8158
 [19,]  944.5493  941.9651  939.3809  936.7967  934.2125  931.6283  929.0441
 [20,]  948.4048  945.7484  943.0921  940.4357  937.7794  935.1230  932.4667
 [21,]  952.4545  949.7261  946.9976  944.2691  941.5406  938.8122  936.0837
 [22,]  956.6987  953.8981  951.0975  948.2968  945.4962  942.6956  939.8950
 [23,]  961.1371  958.2644  955.3917  952.5189  949.6462  946.7734  943.9007
 [24,]  965.7699  962.8251  959.8802  956.9353  953.9905  951.0456  948.1007
 [25,]  970.5971  967.5801  964.5631  961.5461  958.5291  955.5121  952.4951
 [26,]  975.6186  972.5295  969.4403  966.3512  963.2621  960.1729  957.0838
 [27,]  980.8345  977.6732  974.5119  971.3506  968.1894  965.0281  961.8668
 [28,]  986.2446  983.0112  979.7778  976.5444  973.3110  970.0776  966.8442
 [29,]  991.8492  988.5436  985.2381  981.9326  978.6270  975.3215  972.0160
 [30,]  997.6481  994.2704  990.8927  987.5151  984.1374  980.7597  977.3821
 [31,] 1003.6413 1000.1915  996.7417  993.2919  989.8421  986.3923  982.9425
 [32,] 1009.8289 1006.3069 1002.7850  999.2631  995.7411  992.2192  988.6973
 [33,] 1016.2108 1012.6167 1009.0227 1005.4286 1001.8345  998.2405  994.6464
 [34,] 1022.7871 1019.1209 1015.4547 1011.7885 1008.1223 1004.4561 1000.7899
 [35,] 1029.5577 1025.8193 1022.0810 1018.3427 1014.6043 1010.8660 1007.1277
 [36,] 1036.5226 1032.7121 1028.9017 1025.0912 1021.2808 1017.4703 1013.6598
 [37,] 1043.6819 1039.7993 1035.9167 1032.0341 1028.1515 1024.2689 1020.3863
 [38,] 1051.0356 1047.0808 1043.1261 1039.1714 1035.2166 1031.2619 1027.3072
 [39,] 1058.5835 1054.5567 1050.5298 1046.5030 1042.4761 1038.4492 1034.4224
 [40,] 1066.3259 1062.2269 1058.1279 1054.0289 1049.9299 1045.8309 1041.7319
 [41,] 1074.2626 1070.0914 1065.9203 1061.7492 1057.5781 1053.4069 1049.2358
 [42,] 1082.3936 1078.1503 1073.9071 1069.6638 1065.4205 1061.1773 1056.9340
 [43,] 1090.7190 1086.4036 1082.0882 1077.7728 1073.4574 1069.1420 1064.8266
 [44,] 1099.2387 1094.8511 1090.4636 1086.0761 1081.6886 1077.3011 1072.9135
 [45,] 1107.9527 1103.4931 1099.0334 1094.5738 1090.1141 1085.6544 1081.1948
 [46,] 1116.8611 1112.3293 1107.7976 1103.2658 1098.7340 1094.2022 1089.6704
 [47,] 1125.9639 1121.3600 1116.7560 1112.1521 1107.5482 1102.9443 1098.3404
 [48,] 1135.2610 1130.5849 1125.9089 1121.2328 1116.5568 1111.8807 1107.2047
 [49,] 1144.7524 1140.0042 1135.2560 1130.5079 1125.7597 1121.0115 1116.2633
 [50,] 1154.4382 1149.6179 1144.7976 1139.9772 1135.1569 1130.3366 1125.5163
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           [,85]     [,86]     [,87]     [,88]     [,89]     [,90]     [,91]
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           [,92]     [,93]     [,94]     [,95]     [,96]     [,97]     [,98]
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 [34,]  971.4603  967.7941  964.1279  960.4617  956.7955  953.1293  949.4631
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 [38,]  995.6694  991.7146  987.7599  983.8052  979.8504  975.8957  971.9410
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 [40,] 1008.9400 1004.8410 1000.7420  996.6430  992.5440  988.4450  984.3460
 [41,] 1015.8668 1011.6957 1007.5245 1003.3534  999.1823  995.0112  990.8400
 [42,] 1022.9880 1018.7447 1014.5015 1010.2582 1006.0149 1001.7717  997.5284
 [43,] 1030.3035 1025.9881 1021.6727 1017.3573 1013.0419 1008.7265 1004.4111
 [44,] 1037.8133 1033.4258 1029.0383 1024.6508 1020.2633 1015.8757 1011.4882
 [45,] 1045.5176 1041.0579 1036.5982 1032.1386 1027.6789 1023.2193 1018.7596
 [46,] 1053.4161 1048.8843 1044.3525 1039.8207 1035.2890 1030.7572 1026.2254
 [47,] 1061.5090 1056.9051 1052.3012 1047.6972 1043.0933 1038.4894 1033.8855
 [48,] 1069.7962 1065.1202 1060.4441 1055.7681 1051.0920 1046.4160 1041.7399
 [49,] 1078.2778 1073.5296 1068.7815 1064.0333 1059.2851 1054.5369 1049.7887
 [50,] 1086.9538 1082.1334 1077.3131 1072.4928 1067.6725 1062.8522 1058.0319
 [51,] 1095.8240 1090.9316 1086.0391 1081.1467 1076.2542 1071.3618 1066.4693
 [52,] 1104.8887 1099.9241 1094.9595 1089.9949 1085.0303 1080.0657 1075.1012
 [53,] 1114.1476 1109.1109 1104.0742 1099.0375 1094.0008 1088.9640 1083.9273
 [54,] 1123.6009 1118.4921 1113.3832 1108.2744 1103.1655 1098.0567 1092.9478
 [55,] 1133.2486 1128.0676 1122.8866 1117.7056 1112.5247 1107.3437 1102.1627
 [56,] 1143.0906 1137.8375 1132.5844 1127.3313 1122.0781 1116.8250 1111.5719
 [57,] 1153.1269 1147.8017 1142.4764 1137.1512 1131.8260 1126.5007 1121.1755
 [58,] 1163.3576 1157.9603 1152.5629 1147.1655 1141.7681 1136.3707 1130.9734
 [59,] 1173.7827 1168.3132 1162.8436 1157.3741 1151.9046 1146.4351 1140.9656
 [60,] 1184.4020 1178.8604 1173.3188 1167.7771 1162.2355 1156.6938 1151.1522
 [61,] 1195.2158 1189.6020 1183.9882 1178.3745 1172.7607 1167.1469 1161.5331
 [62,] 1206.2238 1200.5379 1194.8520 1189.1661 1183.4802 1177.7943 1172.1084
 [63,] 1217.4263 1211.6682 1205.9102 1200.1521 1194.3941 1188.6361 1182.8780
 [64,] 1228.8230 1222.9929 1217.1627 1211.3325 1205.5023 1199.6722 1193.8420
 [65,] 1240.4141 1234.5118 1228.6095 1222.7072 1216.8049 1210.9026 1205.0003
 [66,] 1252.1996 1246.2252 1240.2507 1234.2763 1228.3018 1222.3274 1216.3530
 [67,] 1264.1794 1258.1328 1252.0863 1246.0397 1239.9931 1233.9465 1227.9000
 [68,] 1276.3535 1270.2348 1264.1161 1257.9974 1251.8787 1245.7600 1239.6413
 [69,] 1288.7220 1282.5312 1276.3404 1270.1495 1263.9587 1257.7679 1251.5770
 [70,] 1301.2849 1295.0219 1288.7589 1282.4960 1276.2330 1269.9700 1263.7071
 [71,] 1314.0420 1307.7069 1301.3718 1295.0367 1288.7016 1282.3665 1276.0314
 [72,] 1326.9936 1320.5863 1314.1791 1307.7719 1301.3646 1294.9574 1288.5502
 [73,] 1340.1394 1333.6601 1327.1807 1320.7013 1314.2220 1307.7426 1301.2632
 [74,] 1353.4796 1346.9281 1340.3766 1333.8252 1327.2737 1320.7222 1314.1707
 [75,] 1367.0142 1360.3906 1353.7669 1347.1433 1340.5197 1333.8961 1327.2724
 [76,] 1380.7431 1374.0473 1367.3516 1360.6558 1353.9601 1347.2643 1340.5685
 [77,] 1394.6664 1387.8985 1381.1306 1374.3627 1367.5948 1360.8269 1354.0590
 [78,] 1408.7840 1401.9439 1395.1039 1388.2639 1381.4238 1374.5838 1367.7438
 [79,] 1423.0959 1416.1837 1409.2716 1402.3594 1395.4473 1388.5351 1381.6229
 [80,] 1437.6022 1430.6179 1423.6336 1416.6493 1409.6650 1402.6807 1395.6964
 [81,] 1452.3028 1445.2464 1438.1900 1431.1335 1424.0771 1417.0207 1409.9643
 [82,] 1467.1978 1460.0692 1452.9407 1445.8121 1438.6836 1431.5550 1424.4264
 [83,] 1482.2871 1475.0864 1467.8857 1460.6850 1453.4843 1446.2837 1439.0830
 [84,] 1497.5708 1490.2979 1483.0251 1475.7523 1468.4795 1461.2067 1453.9338
 [85,] 1513.0488 1505.7038 1498.3589 1491.0139 1483.6690 1476.3240 1468.9791
 [86,] 1528.7211 1521.3040 1513.8870 1506.4699 1499.0528 1491.6357 1484.2186
 [87,] 1544.5878 1537.0986 1529.6094 1522.1202 1514.6310 1507.1417 1499.6525
 [88,] 1560.6489 1553.0875 1545.5262 1537.9648 1530.4035 1522.8421 1515.2808
 [89,] 1576.9043 1569.2708 1561.6373 1554.0038 1546.3703 1538.7369 1531.1034
 [90,] 1593.3540 1585.6484 1577.9428 1570.2372 1562.5315 1554.8259 1547.1203
 [91,] 1609.9981 1602.2203 1594.4426 1586.6648 1578.8871 1571.1094 1563.3316
 [92,] 1626.8365 1618.9866 1611.1368 1603.2869 1595.4370 1587.5871 1579.7372
 [93,] 1643.8693 1635.9473 1628.0253 1620.1032 1612.1812 1604.2592 1596.3372
 [94,] 1661.0964 1653.1023 1645.1081 1637.1140 1629.1198 1621.1257 1613.1315
 [95,] 1678.5179 1670.4516 1662.3853 1654.3190 1646.2528 1638.1865 1630.1202
 [96,] 1696.1337 1687.9953 1679.8569 1671.7184 1663.5800 1655.4416 1647.3032
 [97,] 1713.9438 1705.7333 1697.5227 1689.3122 1681.1017 1672.8911 1664.6806
 [98,] 1731.9483 1723.6656 1715.3830 1707.1003 1698.8176 1690.5349 1682.2523
 [99,] 1750.1472 1741.7924 1733.4375 1725.0827 1716.7279 1708.3731 1700.0183
           [,99]
  [1,]  881.3822
  [2,]  880.2246
  [3,]  879.2614
  [4,]  878.4925
  [5,]  877.9180
  [6,]  877.5378
  [7,]  877.3520
  [8,]  877.3605
  [9,]  877.5634
 [10,]  877.9606
 [11,]  878.5521
 [12,]  879.3380
 [13,]  880.3182
 [14,]  881.4928
 [15,]  882.8617
 [16,]  884.4250
 [17,]  886.1826
 [18,]  888.1346
 [19,]  890.2809
 [20,]  892.6215
 [21,]  895.1565
 [22,]  897.8859
 [23,]  900.8096
 [24,]  903.9276
 [25,]  907.2400
 [26,]  910.7467
 [27,]  914.4478
 [28,]  918.3432
 [29,]  922.4329
 [30,]  926.7170
 [31,]  931.1955
 [32,]  935.8683
 [33,]  940.7354
 [34,]  945.7969
 [35,]  951.0527
 [36,]  956.5029
 [37,]  962.1474
 [38,]  967.9863
 [39,]  974.0195
 [40,]  980.2470
 [41,]  986.6689
 [42,]  993.2852
 [43,] 1000.0958
 [44,] 1007.1007
 [45,] 1014.3000
 [46,] 1021.6936
 [47,] 1029.2816
 [48,] 1037.0639
 [49,] 1045.0405
 [50,] 1053.2115
 [51,] 1061.5769
 [52,] 1070.1366
 [53,] 1078.8906
 [54,] 1087.8390
 [55,] 1096.9817
 [56,] 1106.3188
 [57,] 1115.8502
 [58,] 1125.5760
 [59,] 1135.4961
 [60,] 1145.6106
 [61,] 1155.9194
 [62,] 1166.4225
 [63,] 1177.1200
 [64,] 1188.0118
 [65,] 1199.0980
 [66,] 1210.3785
 [67,] 1221.8534
 [68,] 1233.5226
 [69,] 1245.3862
 [70,] 1257.4441
 [71,] 1269.6963
 [72,] 1282.1429
 [73,] 1294.7839
 [74,] 1307.6192
 [75,] 1320.6488
 [76,] 1333.8728
 [77,] 1347.2911
 [78,] 1360.9038
 [79,] 1374.7108
 [80,] 1388.7121
 [81,] 1402.9078
 [82,] 1417.2979
 [83,] 1431.8823
 [84,] 1446.6610
 [85,] 1461.6341
 [86,] 1476.8015
 [87,] 1492.1633
 [88,] 1507.7194
 [89,] 1523.4699
 [90,] 1539.4147
 [91,] 1555.5539
 [92,] 1571.8874
 [93,] 1588.4152
 [94,] 1605.1374
 [95,] 1622.0539
 [96,] 1639.1648
 [97,] 1656.4700
 [98,] 1673.9696
 [99,] 1691.6635

$meta
$meta$x
[1] "N_kgha"

$meta$y
[1] "soc_5_15cm"

$meta$trans
function (x) 
{
    class(x) <- unique.default(c("AsIs", oldClass(x)))
    x
}
<bytecode: 0x00000261c0f466f0>
<environment: namespace:base>

$meta$class
[1] "lm"

$meta$cond
  P_kgha ncrops hhmem femhead headeduc arain_tot population_density
1      0      1     5       0        1  1266.955           100.8233
  wc2.1_30s_elev sand_0_5cm nitrogen_0_5cm ECN_5_15cm pH_0_5cm
1           1206         59            1.3        0.2     6.02

$meta$z
[1] "yld_"


attr(,"class")
[1] "visreg2d"

# Quadratic plateau or linear plateau
library(easynls)
tz_lsms_panel.temp <- tz_lsms_panel[, c("yld_","N_kgha")]
nls.QP <- nlsfit(tz_lsms_panel.temp, model = 4)
nls.QP$Model

[1] "y ~ (a + b * x + c * I(x^2)) * (x <= -0.5 * b/c) + (a + I(-b^2/(4 * c))) * (x > -0.5 * b/c)"

mn=nls.QP$Parameters
mn

                                      N_kgha
coefficient a                  -3.909774e-01
coefficient b                   1.052253e-02
coefficient c                  -1.090000e-06
p-value t.test for a            2.841850e-01
p-value t.test for b            0.000000e+00
p-value t.test for c            0.000000e+00
r-squared                       8.650000e-02
adjusted r-squared              8.640000e-02
AIC                             8.165610e+04
BIC                             8.168471e+04
maximum or minimum value for y  2.499715e+01
critical point in x             4.825482e+03

summary(mn)

     N_kgha        
 Min.   :   -0.39  
 1st Qu.:    0.00  
 Median :    0.09  
 Mean   :14015.95  
 3rd Qu.: 1225.12  
 Max.   :81684.71  

5.1.1 Site-year specific Quadratic Only response functions

The site-year specific Quadratic response function can be modeled as At level 1, we have \[ Y_{i} = a_{i} + b_{i}*N + c_{i}*N^2 + \varepsilon_{i} \] At level 2, we have \[ a_{i} \sim N(a_0, \sigma_{a}^2) \\ b_{i} \sim N(b_0, \sigma_{b}^2) \\ c_{i} \sim N(c_0, \sigma_{c}^2) \\ \] This model can be estimated with the linear mixed model function lmer in R package lme4

tz_lsms_panel.temp <- tz_lsms_panel[, .(yld_, N_kgha, N2 = N_kgha^2, year)]
lmer.Q <- lmer(yld_ ~ 1 + N_kgha + N2  + (1 | year) + (0 + N_kgha | year) + (0 + N2 | year), data = tz_lsms_panel.temp)
lmer.Q

Linear mixed model fit by REML ['lmerMod']
Formula: yld_ ~ 1 + N_kgha + N2 + (1 | year) + (0 + N_kgha | year) + (0 +  
    N2 | year)
   Data: tz_lsms_panel.temp
REML criterion at convergence: 152692.7
Random effects:
 Groups   Name        Std.Dev. 
 year     (Intercept) 8.001e+01
 year.1   N_kgha      2.748e+00
 year.2   N2          6.472e-03
 Residual             7.960e+02
Number of obs: 9426, groups:  year, 5
Fixed Effects:
(Intercept)       N_kgha           N2  
  748.29010     11.24225      0.01232  
fit warnings:
Some predictor variables are on very different scales: consider rescaling
optimizer (nloptwrap) convergence code: 0 (OK) ; 0 optimizer warnings; 1 lme4 warnings 

summary(lmer.Q)

Linear mixed model fit by REML ['lmerMod']
Formula: yld_ ~ 1 + N_kgha + N2 + (1 | year) + (0 + N_kgha | year) + (0 +  
    N2 | year)
   Data: tz_lsms_panel.temp

REML criterion at convergence: 152692.7

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-2.3333 -0.6213 -0.3108  0.2772  6.6397 

Random effects:
 Groups   Name        Variance  Std.Dev. 
 year     (Intercept) 6.402e+03 8.001e+01
 year.1   N_kgha      7.554e+00 2.748e+00
 year.2   N2          4.188e-05 6.472e-03
 Residual             6.337e+05 7.960e+02
Number of obs: 9426, groups:  year, 5

Fixed effects:
             Estimate Std. Error t value
(Intercept) 748.29010   36.88270  20.288
N_kgha       11.24225    1.75175   6.418
N2            0.01232    0.01525   0.808

Correlation of Fixed Effects:
       (Intr) N_kgha
N_kgha -0.051       
N2      0.046 -0.657
fit warnings:
Some predictor variables are on very different scales: consider rescaling
optimizer (nloptwrap) convergence code: 0 (OK)
boundary (singular) fit: see help('isSingular')

Or, althernatively, can be estimated with the non-linear mixed model function nlme

library(nlme)
nlme.Q <- nlme(yld_ ~ (a + b * N_kgha + c * (N_kgha^2)),
                    data = tz_lsms_panel,
                    fixed = a + b + c ~ 1,
                    random = a + b + c ~ 1,
                    groups = ~ year,
                    start = c(800, 10, -0.001))

nlme.Q

Nonlinear mixed-effects model fit by maximum likelihood
  Model: yld_ ~ (a + b * N_kgha + c * (N_kgha^2)) 
  Data: tz_lsms_panel 
  Log-likelihood: -76345.33
  Fixed: a + b + c ~ 1 
           a            b            c 
747.82829275  11.16211183   0.01323599 

Random effects:
 Formula: list(a ~ 1, b ~ 1, c ~ 1)
 Level: year
 Structure: General positive-definite, Log-Cholesky parametrization
         StdDev       Corr         
a         57.45976820 a      b     
b          1.64304646 -0.022       
c          0.02343941  0.946 -0.341
Residual 795.98608057              

Number of Observations: 9426
Number of Groups: 5 

5.1.2 Site-year specific Quadratic-plus-plateau response functions

The site-year specific response function can be modeled using a hierarchical quadratic-plus-plateau model. At level 1, we have \[ Y_{i} = \min(a_{i} + b_{i}*N + c_{i}*N^2, Y_{max}) + \varepsilon_{i} \] At level 2, we have \[ a_{i} \sim N(a_0, \sigma_{a}^2) \\ b_{i} \sim N(b_0, \sigma_{b}^2) \\ c_{i} \sim N(c_0, \sigma_{c}^2) \\ Y_{max} = a_{i} - b_{i}^2/(4*c_i) \]

It seems the R function nlme would work to estimate this model

# Define quadratic-plus-plateau function
mq <- lm(yld_ ~ N_kgha + I(N_kgha^2), data=tz_lsms_panel)
a0 <- coef(mq)[[1]]
b0 <- coef(mq)[[2]]
c0 <- coef(mq)[[3]]
clx0 <- -0.5*b0/c0

# Test nls

# fx.QP <- function(N, a, b, c) {
#   y <- (a + b * N + c * I(N^2)) * (N <= -0.5 * b/c) + (a + I(-b^2/(4 * c))) * (N > -0.5 * b/c)
#   return(y)
# }
# 
# nls.QP <- nls(Y ~ fx.QP(N, a, b, c),
#             start = list(a = a0, b = b0, c = c0), data = dat.Puntel.CC.mean,
#             control = nls.control(maxiter = 6000))


# quadplat <- function(x, a, b, clx) {
#   ifelse(x  < clx, a + b * x   + (-0.5*b/clx) * x   * x, 
#                             a + b * clx + (-0.5*b/clx) * clx * clx)
# }
# 
# nls.QP <- nls(Y ~ quadplat(N, a, b, clx), 
#             start = list(a = a0, b = b0, clx = clx0), data = dat.Puntel.CC.mean, 
#             control = nls.control(maxiter = 6000))

# nlme.QP <- nlme(Y ~ fx.QP(N, a, b, c),
#                     data = dat.Puntel.CC.mean,
#                     fixed = a + b + c ~ 1,
#                     random = a + b + c ~ 1,
#                     groups = ~ year,
#                     start = c(a0, b0, c0))
# 
# nlme.QP

# tz_lsms_panel.nlme <- nlme(yld_ ~ (a + b * N_kgha  + c * I(N_kgha  ^2)) * (N_kgha  <= (-0.5 * b/c)) + (a- I(b^2/(4 * c))) * (N_kgha  > (-0.5 * b/c)),
#                     data = tz_lsms_panel,
#                     fixed = a + b + c ~ 1,
#                     random = a + b + c ~ 1,
#                     groups = ~ year,
#                     start = c(a0, b0, c0))
# tz_lsms_panel.nlme

5.1.3 Bayesian analysis

# library(brms)
# 
# tz_lsms_panel$Nsq_kgha=tz_lsms_panel$N_kgha^2
# tz_lsms_panel$Y=tz_lsms_panel$yld_
# 
# f1 <- Y ~ (a+ b*N_kgha+c*(Nsq_kgha))*(N_kgha<=(-0.5*b/c))+(a-(b*b/(4*c)))*(N_kgha>(-0.5*b/c))
# 
# prior_1=c(set_prior("normal(5,1)", nlpar="a"),
# set_prior("normal(0,1)", nlpar="b"),
# set_prior("normal(0,1)", nlpar="c"))
# 
# form=bf(f1,nl=TRUE)+list(a~1|year,b~1|year,c~1|year)
# 
# bayesQP=brm(form,prior=prior_1,data=tz_lsms_panel)
# 
# summary(bayesQP)            

5.2 Nonlinear parameter models: geoadditive model

set.seed(321)

library(bamlss)

# Linear
f1 <- yld_~N_kgha + plotha + P_kgha + ncrops + hhmem + femhead + headeduc + arain_tot +population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm+ region + year

b1 <- bamlss(f1, data = tz_lsms_panel, family = "gaussian", n.iter = 12000, burnin = 2000, thin = 10)

AICc 147908.5 logPost -74304.0 logLik -73902.9 edf 51.000 eps 0.2856 iteration   1
AICc 147906.0 logPost -74302.7 logLik -73901.7 edf 51.000 eps 0.0008 iteration   2
AICc 147906.0 logPost -74302.7 logLik -73901.7 edf 51.000 eps 0.0000 iteration   3
AICc 147906.0 logPost -74302.7 logLik -73901.7 edf 51.000 eps 0.0000 iteration   3
elapsed time:  0.13sec
Starting the sampler...

|                    |   0% 10.59min
|*                   |   5%  9.82min 31.02sec
|**                  |  10%  9.01min  1.00min
|***                 |  15%  8.35min  1.47min
|****                |  20%  7.95min  1.99min
|*****               |  25%  7.51min  2.50min
|******              |  30%  7.03min  3.01min
|*******             |  35%  6.46min  3.48min
|********            |  40%  5.88min  3.92min
|*********           |  45%  5.31min  4.35min
|**********          |  50%  4.78min  4.78min
|***********         |  55%  4.25min  5.20min
|************        |  60%  3.74min  5.61min
|*************       |  65%  3.25min  6.03min
|**************      |  70%  2.76min  6.45min
|***************     |  75%  2.29min  6.86min
|****************    |  80%  1.82min  7.29min
|*****************   |  85%  1.36min  7.70min
|******************  |  90% 54.11sec  8.12min
|******************* |  95% 26.96sec  8.54min
|********************| 100%  0.00sec  8.95min

b1 <- gam(f1, data = tz_lsms_panel, family = "gaussian", n.iter = 12000, burnin = 2000, thin = 10)

summary(b1)

Family: gaussian 
Link function: identity 

Formula:
yld_ ~ N_kgha + plotha + P_kgha + ncrops + hhmem + femhead + 
    headeduc + arain_tot + population_density + wc2.1_30s_elev + 
    sand_0_5cm + nitrogen_0_5cm + soc_5_15cm + ECN_5_15cm + pH_0_5cm + 
    region + year

Parametric coefficients:
                     Estimate Std. Error t value Pr(>|t|)    
(Intercept)         718.97922  246.52773   2.916 0.003549 ** 
N_kgha                8.52450    0.47716  17.865  < 2e-16 ***
plotha             -135.62605    7.01133 -19.344  < 2e-16 ***
P_kgha                5.11078    0.75059   6.809 1.04e-11 ***
ncrops              -59.15740    9.10338  -6.498 8.54e-11 ***
hhmem                15.08730    2.67438   5.641 1.74e-08 ***
femhead             -83.89112   18.78015  -4.467 8.03e-06 ***
headeduc             62.89908   12.80166   4.913 9.11e-07 ***
arain_tot            -0.01477    0.02349  -0.629 0.529531    
population_density    0.01722    0.01153   1.493 0.135395    
wc2.1_30s_elev        0.21164    0.03285   6.443 1.23e-10 ***
sand_0_5cm           -4.71812    1.03684  -4.550 5.42e-06 ***
nitrogen_0_5cm     -115.23103   36.29099  -3.175 0.001502 ** 
soc_5_15cm            0.14188    3.30973   0.043 0.965807    
ECN_5_15cm           -0.34199    3.51547  -0.097 0.922506    
pH_0_5cm             31.92882   30.71503   1.040 0.298591    
region2             238.40378   65.78418   3.624 0.000292 ***
region3             217.00663   63.07191   3.441 0.000583 ***
region4             411.06674   67.97759   6.047 1.53e-09 ***
region5             204.02754   60.34312   3.381 0.000725 ***
region6             -21.62924   91.09097  -0.237 0.812316    
region7             197.03835  138.54958   1.422 0.155017    
region8             122.31516   63.12055   1.938 0.052678 .  
region9              58.03671   57.40579   1.011 0.312048    
region10            144.94753   53.77690   2.695 0.007044 ** 
region11            135.09183   51.40868   2.628 0.008608 ** 
region12            285.78864   48.78499   5.858 4.84e-09 ***
region13             84.14019   61.98880   1.357 0.174705    
region14             14.84556   49.67560   0.299 0.765061    
region15            468.98856   57.42106   8.168 3.56e-16 ***
region16            -60.14323   61.60002  -0.976 0.328916    
region17            -42.91851   51.75435  -0.829 0.406971    
region18           -116.12333   65.88245  -1.763 0.078004 .  
region19            -94.79948   57.68443  -1.643 0.100331    
region20             11.91775   73.11425   0.163 0.870521    
region21            366.45333   64.80407   5.655 1.61e-08 ***
region22            -53.62290   89.50695  -0.599 0.549126    
region23            551.70143   90.79113   6.077 1.28e-09 ***
region24             47.37706   65.27068   0.726 0.467946    
region25            184.00348   88.13499   2.088 0.036848 *  
region26            290.27847  170.02019   1.707 0.087797 .  
region51            346.61470  238.87824   1.451 0.146811    
region52            128.51685  311.49873   0.413 0.679927    
region53           1300.92519  528.81411   2.460 0.013909 *  
region54            -34.22778  744.86225  -0.046 0.963350    
region55           -230.65619  287.16808  -0.803 0.421874    
year2010             48.15114   25.91661   1.858 0.063212 .  
year2012             15.96350   25.02859   0.638 0.523613    
year2014            207.38753   27.91754   7.429 1.20e-13 ***
year2020            170.26837   29.89931   5.695 1.27e-08 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1


R-sq.(adj) =  0.197   Deviance explained = 20.1%
GCV = 5.5385e+05  Scale est. = 5.5084e+05  n = 9208

library(visreg)
visreg(b1,"N_kgha")

# Nonlinear
# f2=yld_~s(N_kgha)+s(plotha)+s(P_kgha)+s(ncrops)+s(hhmem)+femhead+headeduc+s(arain_tot)+ti(region)+ti(year)
#
# b2=bamlss(f2,data=tz_lsms_panel,family="gaussian", n.iter=12000, burnin=2000, thin=10)
#
#
# summary(b2)
# plot(b2, ask=FALSE)
# #
library(bamlss)
f3 <- list(
    yld_ ~ s(N_kgha, by = year) + plotha + P_kgha + ncrops + hhmem + femhead + headeduc + arain_tot +population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm,

    sigma ~ s(N_kgha, by = year) + plotha + P_kgha + ncrops + hhmem + femhead + headeduc + arain_tot+population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm
)

b3 <- bamlss(f3, data = tz_lsms_panel)

AICc 147510.5 logPost -74164.3 logLik -73700.7 edf 54.181 eps 0.3607 iteration   1
AICc 147076.9 logPost -73984.7 logLik -73480.2 edf 57.867 eps 0.0593 iteration   2
AICc 147025.5 logPost -73984.8 logLik -73450.9 edf 61.365 eps 0.0201 iteration   3
AICc 147005.0 logPost -73995.9 logLik -73438.3 edf 63.759 eps 0.0067 iteration   4
AICc 146988.8 logPost -74009.3 logLik -73426.1 edf 67.782 eps 0.0084 iteration   5
AICc 146981.5 logPost -74022.0 logLik -73419.7 edf 70.491 eps 0.0034 iteration   6
AICc 146980.6 logPost -74025.5 logLik -73418.4 edf 71.329 eps 0.0014 iteration   7
AICc 146980.5 logPost -74025.6 logLik -73418.3 edf 71.385 eps 0.0005 iteration   8
AICc 146980.4 logPost -74025.7 logLik -73418.2 edf 71.392 eps 0.0003 iteration   9
AICc 146980.4 logPost -74025.6 logLik -73418.2 edf 71.392 eps 0.0001 iteration  10
AICc 146980.4 logPost -74025.6 logLik -73418.2 edf 71.392 eps 0.0000 iteration  11
AICc 146980.4 logPost -74025.6 logLik -73418.2 edf 71.392 eps 0.0000 iteration  11
elapsed time:  8.39sec
Starting the sampler...

|                    |   0%  1.27min
|*                   |   5%  1.20min  3.78sec
|**                  |  10%  1.15min  7.67sec
|***                 |  15%  1.12min 11.87sec
|****                |  20%  1.08min 16.25sec
|*****               |  25%  1.05min 21.06sec
|******              |  30% 59.92sec 25.68sec
|*******             |  35% 56.81sec 30.59sec
|********            |  40% 52.98sec 35.32sec
|*********           |  45% 49.07sec 40.15sec
|**********          |  50% 44.92sec 44.92sec
|***********         |  55% 41.07sec 50.20sec
|************        |  60% 36.67sec 55.01sec
|*************       |  65% 32.30sec 59.98sec
|**************      |  70% 27.87sec  1.08min
|***************     |  75% 23.36sec  1.17min
|****************    |  80% 18.79sec  1.25min
|*****************   |  85% 14.12sec  1.33min
|******************  |  90%  9.44sec  1.42min
|******************* |  95%  4.74sec  1.50min
|********************| 100%  0.00sec  1.58min

summary(b3)

Call:
bamlss(formula = f3, data = tz_lsms_panel)
---
Family: gaussian 
Link function: mu = identity, sigma = log
*---
Formula mu:
---
yld_ ~ s(N_kgha, by = year) + plotha + P_kgha + ncrops + hhmem + 
    femhead + headeduc + arain_tot + population_density + wc2.1_30s_elev + 
    sand_0_5cm + nitrogen_0_5cm + soc_5_15cm + ECN_5_15cm + pH_0_5cm
-
Parametric coefficients:
                         Mean       2.5%        50%      97.5% parameters
(Intercept)         1.306e+02 -2.216e+02  1.314e+02  4.708e+02    123.318
plotha             -6.811e+01 -7.656e+01 -6.797e+01 -6.020e+01    -68.100
P_kgha              7.646e+00  5.150e+00  7.668e+00  1.005e+01      7.362
ncrops             -5.075e+01 -6.237e+01 -5.095e+01 -3.848e+01    -50.101
hhmem               6.663e+00  2.481e+00  6.703e+00  1.104e+01      6.827
femhead            -6.655e+01 -9.583e+01 -6.626e+01 -3.417e+01    -65.173
headeduc            6.431e+01  3.902e+01  6.456e+01  8.957e+01     66.178
arain_tot           2.440e-02 -1.025e-02  2.372e-02  6.130e-02      0.026
population_density  3.129e-02  3.099e-03  2.967e-02  6.872e-02      0.027
wc2.1_30s_elev      2.087e-01  1.753e-01  2.079e-01  2.416e-01      0.209
sand_0_5cm         -2.011e+00 -3.488e+00 -2.014e+00 -3.951e-01     -1.980
nitrogen_0_5cm     -2.361e+01 -7.042e+01 -2.411e+01  2.053e+01    -22.706
soc_5_15cm          3.764e+00 -9.591e-01  3.796e+00  8.454e+00      3.751
ECN_5_15cm          1.093e+01  3.716e+00  1.082e+01  1.869e+01     11.088
pH_0_5cm            9.797e+01  5.453e+01  9.717e+01  1.417e+02     97.893
-
Acceptance probability:
        Mean   2.5%    50% 97.5%
alpha 0.9860 0.9079 0.9994     1
-
Smooth terms:
                                  Mean      2.5%       50%     97.5% parameters
s(N_kgha,by=year):2008.tau21 4.154e+05 2.586e-01 1.437e+02 1.305e+06  1.545e+00
s(N_kgha,by=year):2008.alpha 1.000e+00 1.000e+00 1.000e+00 1.000e+00         NA
s(N_kgha,by=year):2008.edf   1.276e+00 9.788e-01 1.003e+00 3.212e+00  9.970e-01
s(N_kgha,by=year):2010.tau21 2.172e+06 7.961e+04 1.078e+06 1.023e+07  1.070e+06
s(N_kgha,by=year):2010.alpha 1.000e+00 1.000e+00 1.000e+00 1.000e+00         NA
s(N_kgha,by=year):2010.edf   3.774e+00 2.026e+00 3.676e+00 5.895e+00  3.722e+00
s(N_kgha,by=year):2012.tau21 1.675e+05 2.208e+01 1.164e+04 1.090e+06  2.920e-01
s(N_kgha,by=year):2012.alpha 1.000e+00 1.000e+00 1.000e+00 1.000e+00         NA
s(N_kgha,by=year):2012.edf   1.493e+00 1.000e+00 1.217e+00 3.476e+00  9.860e-01
s(N_kgha,by=year):2014.tau21 5.093e+06 3.200e+05 3.048e+06 2.105e+07  4.657e+06
s(N_kgha,by=year):2014.alpha 1.000e+00 1.000e+00 1.000e+00 1.000e+00         NA
s(N_kgha,by=year):2014.edf   4.188e+00 2.472e+00 4.147e+00 6.114e+00  4.599e+00
s(N_kgha,by=year):2020.tau21 2.628e+06 3.348e-01 9.525e+05 1.745e+07  2.488e+06
s(N_kgha,by=year):2020.alpha 1.000e+00 1.000e+00 1.000e+00 1.000e+00         NA
s(N_kgha,by=year):2020.edf   3.025e+00 9.842e-01 3.195e+00 5.860e+00  3.982e+00
---
Formula sigma:
---
sigma ~ s(N_kgha, by = year) + plotha + P_kgha + ncrops + hhmem + 
    femhead + headeduc + arain_tot + population_density + wc2.1_30s_elev + 
    sand_0_5cm + nitrogen_0_5cm + soc_5_15cm + ECN_5_15cm + pH_0_5cm
-
Parametric coefficients:
                         Mean       2.5%        50%      97.5% parameters
(Intercept)         5.717e+00  5.372e+00  5.720e+00  6.080e+00      5.723
plotha             -1.196e-01 -1.295e-01 -1.200e-01 -1.085e-01     -0.120
P_kgha              3.320e-03  1.577e-03  3.306e-03  5.029e-03      0.003
ncrops             -7.837e-02 -9.451e-02 -7.802e-02 -6.342e-02     -0.079
hhmem               7.382e-03  2.670e-03  7.470e-03  1.245e-02      0.007
femhead            -8.498e-02 -1.228e-01 -8.486e-02 -4.878e-02     -0.087
headeduc            1.187e-01  9.719e-02  1.186e-01  1.402e-01      0.120
arain_tot          -7.409e-06 -4.941e-05 -8.141e-06  3.337e-05      0.000
population_density  4.376e-05  1.671e-05  4.306e-05  7.286e-05      0.000
wc2.1_30s_elev      2.208e-04  1.870e-04  2.211e-04  2.574e-04      0.000
sand_0_5cm         -1.598e-03 -3.244e-03 -1.605e-03  1.458e-04     -0.002
nitrogen_0_5cm      6.620e-02  1.655e-02  6.616e-02  1.172e-01      0.068
soc_5_15cm         -4.202e-03 -9.697e-03 -3.902e-03  7.907e-04     -0.004
ECN_5_15cm          1.373e-02  6.786e-03  1.379e-02  2.149e-02      0.014
pH_0_5cm            1.371e-01  9.640e-02  1.380e-01  1.789e-01      0.137
-
Acceptance probability:
           Mean      2.5%       50% 97.5%
alpha 0.5250304 0.0003718 0.5129290     1
-
Smooth terms:
                                  Mean      2.5%       50%     97.5% parameters
s(N_kgha,by=year):2008.tau21 1.430e+01 3.628e-01 7.719e+00 7.216e+01     35.875
s(N_kgha,by=year):2008.alpha 7.969e-01 2.273e-01 9.106e-01 1.000e+00         NA
s(N_kgha,by=year):2008.edf   4.930e+00 2.675e+00 5.006e+00 7.216e+00      6.540
s(N_kgha,by=year):2010.tau21 1.512e+01 2.636e+00 1.133e+01 5.149e+01     12.185
s(N_kgha,by=year):2010.alpha 7.954e-01 1.618e-01 9.062e-01 1.000e+00         NA
s(N_kgha,by=year):2010.edf   5.950e+00 4.412e+00 5.936e+00 7.532e+00      6.019
s(N_kgha,by=year):2012.tau21 4.357e-01 9.376e-05 3.787e-02 3.966e+00      0.913
s(N_kgha,by=year):2012.alpha 9.205e-01 4.846e-01 9.908e-01 1.000e+00         NA
s(N_kgha,by=year):2012.edf   2.034e+00 1.003e+00 1.697e+00 4.857e+00      3.533
s(N_kgha,by=year):2014.tau21 4.887e+00 4.419e-01 2.869e+00 2.319e+01      4.782
s(N_kgha,by=year):2014.alpha 7.284e-01 5.818e-02 8.178e-01 1.000e+00         NA
s(N_kgha,by=year):2014.edf   4.330e+00 2.796e+00 4.219e+00 6.418e+00      4.710
s(N_kgha,by=year):2020.tau21 7.864e+00 5.636e-01 4.674e+00 3.574e+01     15.593
s(N_kgha,by=year):2020.alpha 7.815e-01 1.840e-01 8.803e-01 1.000e+00         NA
s(N_kgha,by=year):2020.edf   5.028e+00 3.118e+00 4.987e+00 7.193e+00      6.305
---
Sampler summary:
-
DIC = 146996.9 logLik = -73462.92 pd = 71.0341
runtime = 95.78
---
Optimizer summary:
-
AICc = 146980.5 edf = 71.3927 logLik = -73418.29
logPost = -74025.7 nobs = 9208 runtime = 8.39

# plot(b3,ask=FALSE)

plot(b3, cex = 2.5, model = "mu", term = "s(N_kgha,by=year)")

plot(b3, cex = 2.5, model = "sigma", term = "s(N_kgha,by=year")

# GAM model
f_gam <-  yld_ ~ s(N_kgha, by = year,sp=0.1) + plotha + P_kgha + ncrops + hhmem + femhead + headeduc + arain_tot +population_density+wc2.1_30s_elev+sand_0_5cm+nitrogen_0_5cm+soc_5_15cm+ ECN_5_15cm+pH_0_5cm
    
b_gam <- gam(f_gam,data = tz_lsms_panel)

previous_theme <- theme_set(theme_bw())
visreg_polynomial_plot=visreg(b_gam,"N_kgha","year",gg=TRUE,xlab="Applied nitrogen (kg per ha)", ylab="Maize yield (kg per ha)",partial=FALSE,rug=FALSE)
visreg_polynomial_plot

ggsave("figures/visreg_polynomial_plot.png",width=4.16,height=3.16)

dev.off()

null device 
          1 

visreg2d(b_gam,"year", "N_kgha", plot.type="image")

6 Causal RF approach

6.1 Binary treatment

library(grf)
library(policytree)

tz_lsms_panel_estim_fert <- subset(tz_lsms_panel, select = c("fert1_bin","yld_", "N_kgha", "plotha", "P_kgha", "ncrops", "hhmem", "femhead", "headeduc", "arain_tot", "population_density", "wc2.1_30s_elev", "sand_0_5cm", "nitrogen_0_5cm", "soc_5_15cm", "ECN_5_15cm", "pH_0_5cm", "region", "year", "lat_modified", "lon_modified"))

tz_lsms_panel_estim_fert$region <- as.numeric(tz_lsms_panel_estim_fert$region)
tz_lsms_panel_estim_fert$year <- as.numeric(tz_lsms_panel_estim_fert$year)

library(tidyr)
tz_lsms_panel_estim_fert <- tz_lsms_panel_estim_fert %>% drop_na()


Y_cf_fert <- as.vector(tz_lsms_panel_estim_fert$yld_)
## Causal random forest -----------------

X_cf_fert <- subset(tz_lsms_panel_estim_fert, select = c("plotha", "ncrops", "hhmem", "femhead", "headeduc", "arain_tot", "population_density", "wc2.1_30s_elev", "sand_0_5cm", "nitrogen_0_5cm", "soc_5_15cm", "ECN_5_15cm", "pH_0_5cm", "region", "year"))

X_firststage_cf_fert <- subset(tz_lsms_panel_estim_fert, select = c("plotha", "ncrops", "hhmem", "femhead", "headeduc", "arain_tot", "population_density", "wc2.1_30s_elev", "sand_0_5cm", "nitrogen_0_5cm", "soc_5_15cm", "ECN_5_15cm", "pH_0_5cm", "region", "year"))


W_cf_fert_binary <- as.vector(tz_lsms_panel_estim_fert$fert1_bin)

# Probability random forest to create weights
W.multi_fert.forest_binary <- regression_forest(X_cf_fert, W_cf_fert_binary,
    equalize.cluster.weights = FALSE,
    seed = 2
)
W.hat.multi.all_fert_binary <- predict(W.multi_fert.forest_binary, estimate.variance = TRUE)$predictions


# Regression forest to get expected responses
Y.multi_fert.forest_binary <- regression_forest(X_cf_fert, Y_cf_fert,
    equalize.cluster.weights = FALSE,
    seed = 2
)

print(Y.multi_fert.forest_binary)

GRF forest object of type regression_forest 
Number of trees: 2000 
Number of training samples: 9208 
Variable importance: 
    1     2     3     4     5     6     7     8     9    10    11    12    13 
0.706 0.013 0.003 0.001 0.004 0.005 0.005 0.212 0.007 0.006 0.020 0.003 0.007 
   14    15 
0.005 0.003 

varimp.multi_fert_binary <- variable_importance(Y.multi_fert.forest_binary)
Y.hat.multi.all_fert_binary <- predict(Y.multi_fert.forest_binary, estimate.variance = TRUE)$predictions

# Fit binary causal RF model
multi_fert.forest_binary <- causal_forest(X = X_cf_fert, Y = Y_cf_fert, W = W_cf_fert_binary, W.hat = W.hat.multi.all_fert_binary, Y.hat = Y.hat.multi.all_fert_binary, seed = 2)

varimp.multi_fert_cf_binary <- variable_importance(multi_fert.forest_binary)

# Average treatment effects
multi_fert_ate_binary <- average_treatment_effect(multi_fert.forest_binary, target.sample = "overlap")
multi_fert_ate_binary

 estimate   std.err 
296.77835  30.26994 

multi_fert_binary_calibration <- test_calibration(multi_fert.forest_binary)
multi_fert_binary_calibration

Best linear fit using forest predictions (on held-out data)
as well as the mean forest prediction as regressors, along
with one-sided heteroskedasticity-robust (HC3) SEs:

                               Estimate Std. Error t value    Pr(>t)    
mean.forest.prediction          0.99724    0.10227  9.7509 < 2.2e-16 ***
differential.forest.prediction  1.25318    0.26830  4.6708 1.521e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

6.2 Continuous treatment

library(grf)
library(policytree)

tz_lsms_panel_estim_fert <- subset(tz_lsms_panel, select = c("fert1_bin","yld_", "N_kgha", "plotha", "P_kgha", "ncrops", "hhmem", "femhead", "headeduc", "arain_tot", "population_density", "wc2.1_30s_elev", "sand_0_5cm", "nitrogen_0_5cm", "soc_5_15cm", "ECN_5_15cm", "pH_0_5cm", "region", "year", "lat_modified", "lon_modified"))

tz_lsms_panel_estim_fert$region <- as.numeric(tz_lsms_panel_estim_fert$region)
tz_lsms_panel_estim_fert$year <- as.numeric(tz_lsms_panel_estim_fert$year)

library(tidyr)
tz_lsms_panel_estim_fert <- tz_lsms_panel_estim_fert %>% drop_na()


Y_cf_fert <- as.vector(tz_lsms_panel_estim_fert$yld_)
## Causal random forest -----------------

X_cf_fert <- subset(tz_lsms_panel_estim_fert, select = c("plotha", "ncrops", "hhmem", "femhead", "headeduc", "arain_tot", "population_density", "wc2.1_30s_elev", "sand_0_5cm", "nitrogen_0_5cm", "soc_5_15cm", "ECN_5_15cm", "pH_0_5cm", "region", "year"))

X_firststage_cf_fert <- subset(tz_lsms_panel_estim_fert, select = c("plotha", "ncrops", "hhmem", "femhead", "headeduc", "arain_tot", "population_density", "wc2.1_30s_elev", "sand_0_5cm", "nitrogen_0_5cm", "soc_5_15cm", "ECN_5_15cm", "pH_0_5cm", "region", "year"))


W_cf_fert_continuous <- as.vector(tz_lsms_panel_estim_fert$N_kgha)

# Probability random forest to create weights
W.multi_fert.forest_continuous <- regression_forest(X_cf_fert, W_cf_fert_continuous,
    equalize.cluster.weights = FALSE,
    seed = 2
)
W.hat.multi.all_fert_continuous <- predict(W.multi_fert.forest_continuous, estimate.variance = TRUE)$predictions


# Regression forest to get expected responses
Y.multi_fert.forest_continuous <- regression_forest(X_cf_fert, Y_cf_fert,
    equalize.cluster.weights = FALSE,
    seed = 2
)

print(Y.multi_fert.forest_continuous)

GRF forest object of type regression_forest 
Number of trees: 2000 
Number of training samples: 9208 
Variable importance: 
    1     2     3     4     5     6     7     8     9    10    11    12    13 
0.706 0.013 0.003 0.001 0.004 0.005 0.005 0.212 0.007 0.006 0.020 0.003 0.007 
   14    15 
0.005 0.003 

varimp.multi_fert_continuous <- variable_importance(Y.multi_fert.forest_continuous)
Y.hat.multi.all_fert_continuous <- predict(Y.multi_fert.forest_continuous, estimate.variance = TRUE)$predictions

# Fit continuous causal RF model
multi_fert.forest_continuous <- causal_forest(X = X_cf_fert, Y = Y_cf_fert, W = W_cf_fert_continuous, W.hat = W.hat.multi.all_fert_continuous, Y.hat = Y.hat.multi.all_fert_continuous, seed = 2)

varimp.multi_fert_cf_continuous <- variable_importance(multi_fert.forest_continuous)

# Average treatment effects
multi_fert_ate_continuous <- average_treatment_effect(multi_fert.forest_continuous, target.sample = "overlap")
multi_fert_ate_continuous

estimate  std.err 
9.921472 0.711926 

multi_fert_continuous_calibration <- test_calibration(multi_fert.forest_continuous)
multi_fert_continuous_calibration

Best linear fit using forest predictions (on held-out data)
as well as the mean forest prediction as regressors, along
with one-sided heteroskedasticity-robust (HC3) SEs:

                               Estimate Std. Error t value    Pr(>t)    
mean.forest.prediction          0.99353    0.06987 14.2196 < 2.2e-16 ***
differential.forest.prediction  1.23712    0.26364  4.6925 1.369e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

library(ggridges)
library(dplyr)
library(ggplot2)

tau.multi_fert.forest_continuous <- predict(multi_fert.forest_continuous, target.sample = "all", estimate.variance = TRUE)

tau.multi_fert.forest_continuous <- as.data.frame(tau.multi_fert.forest_continuous)

tau.multi_fert.forest_X <- data.frame(tz_lsms_panel_estim_fert, tau.multi_fert.forest_continuous)

NUE_Density=ggplot(tau.multi_fert.forest_X, aes(x = predictions, y = "", fill = factor(stat(quantile)))) +
    stat_density_ridges(
        geom = "density_ridges_gradient", calc_ecdf = TRUE,
        quantiles = 4, quantile_lines = TRUE
    ) +
    scale_y_discrete(expand = c(0.01, 0)) +
    scale_fill_viridis_d(name = "Quartiles") +
    expand_limits(y = 1) +
    theme_bw(base_size = 16) +
    labs(x = "N use effect", y = "Density")
NUE_Density

ggsave("figures/NUE_Density.png", dpi=300, width=5.16,height=4.16)

7 Exploring heterogeneity in Conditional N Use Efficiencies from CRF

7.1 Causal RF

library(ggplot2)
NperHa_CATE_N_plot <- ggplot(subset(tau.multi_fert.forest_X, tau.multi_fert.forest_X$N_kgha > 0), aes(N_kgha, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "Applied N per ha", y = "N use efficiency")

previous_theme <- theme_set(theme_bw(base_size = 16))
NperHa_CATE_N_plot

Plotsize_CATE_N_plot <- ggplot(tau.multi_fert.forest_X, aes(plotha, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "Plot size (ha)", y = "N use efficiency")
previous_theme <- theme_set(theme_bw(base_size = 16))
Plotsize_CATE_N_plot

P_CATE_N_plot <- ggplot(tau.multi_fert.forest_X, aes(P_kgha, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "P", y = "N use efficiency")
previous_theme <- theme_set(theme_bw(base_size = 16))
P_CATE_N_plot

Hhmem_CATE_N_plot <- ggplot(tau.multi_fert.forest_X, aes(hhmem, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "HHMEM", y = "N use efficiency")
previous_theme <- theme_set(theme_bw(base_size = 16))
Hhmem_CATE_N_plot

# By year
NperHa_CATE_N_plot_yr <- ggplot(subset(tau.multi_fert.forest_X, tau.multi_fert.forest_X$N_kgha > 0), aes(N_kgha, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    lims(x = c(0, 100)) +
    labs(x = "Applied N per ha", y = "N use efficiency") +
    theme_bw(base_size = 16) +
    facet_wrap(~year)

NperHa_CATE_N_plot_yr

# By soil organic carbon

library(ggplot2)
soc_CATE_N_plot <- ggplot(subset(tau.multi_fert.forest_X, tau.multi_fert.forest_X$soc_5_15cm > 0), aes(soc_5_15cm, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "Soil organic carbon (%)", y = "N use efficiency")

previous_theme <- theme_set(theme_bw(base_size = 16))
soc_CATE_N_plot

# By soil sand
library(ggplot2)
sand_CATE_N_plot <- ggplot(subset(tau.multi_fert.forest_X, tau.multi_fert.forest_X$sand_0_5cm > 0), aes(sand_0_5cm, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "Sand (%)", y = "N use efficiency")

previous_theme <- theme_set(theme_bw(base_size = 16))
sand_CATE_N_plot

# Electrical conductivity
library(ggplot2)
soil_elec_cond_CATE_N_plot <- ggplot(subset(tau.multi_fert.forest_X, tau.multi_fert.forest_X$ECN_5_15cm > 0), aes(ECN_5_15cm, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "Soil electrical conductivity", y = "N use efficiency")

previous_theme <- theme_set(theme_bw(base_size = 16))
soil_elec_cond_CATE_N_plot

# By density
library(ggplot2)
pop_density_CATE_N_plot <- ggplot(subset(tau.multi_fert.forest_X, tau.multi_fert.forest_X$population_density > 0), aes(population_density, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "Population density", y = "N use efficiency")

previous_theme <- theme_set(theme_bw(base_size = 16))
pop_density_CATE_N_plot

# By elevation

library(ggplot2)
elev_CATE_N_plot <- ggplot(subset(tau.multi_fert.forest_X, tau.multi_fert.forest_X$wc2.1_30s_elev > 0), aes(wc2.1_30s_elev, predictions)) +
    geom_smooth(method = "loess", formula = y ~ x, col = "darkblue") +
    labs(x = "Elevation (masl)", y = "N use efficiency")

previous_theme <- theme_set(theme_bw(base_size = 16))
elev_CATE_N_plot

8 Are N use efficiencies falling overtime?

8.1 Causal RF

tau.multi_fert.forest_X$year_det[tau.multi_fert.forest_X$year==1]=2008
tau.multi_fert.forest_X$year_det[tau.multi_fert.forest_X$year==2]=2010
tau.multi_fert.forest_X$year_det[tau.multi_fert.forest_X$year==3]=2012
tau.multi_fert.forest_X$year_det[tau.multi_fert.forest_X$year==4]=2014
tau.multi_fert.forest_X$year_det[tau.multi_fert.forest_X$year==5]=2020

tau.multi_fert.forest_X$year_det=as.numeric(tau.multi_fert.forest_X$year_det)

Year_CATE_N_plot=ggplot(tau.multi_fert.forest_X,aes(year_det,predictions))+
  geom_smooth(method="loess",formula=y~x,col="darkblue")+
  labs(x="Year",y="N use efficiency")+
  scale_x_continuous(breaks = c(2008, 2010, 2012,2014,2020))
previous_theme <- theme_set(theme_bw())
Year_CATE_N_plot

ggsave("figures/Year_CATE_N_plot.png", dpi=300, width=5.16,height=4.16)

library(ggpubr) 
library(tidyverse) 

#Sowing dates 

Year_CATE_N_Errorplot=
  tau.multi_fert.forest_X %>% 
  drop_na(year_det) %>%
  ggerrorplot(x = "year_det", y = "predictions",add = "mean", error.plot = "errorbar", color="black",size=1, ggtheme=theme_bw())+
  labs(x="Year",y="N use efficiency")+
  theme_bw(base_size = 16)
Year_CATE_N_Errorplot

ggsave("figures/Year_CATE_N_Errorplot.png", dpi=300, width=5.16,height=4.16)

9 Double machine learning (DML)

10 Mapping the estimates

library(ggridges)
library(dplyr)
library(ggplot2)

tau.multi_fert.forest_dummy <- predict(multi_fert.forest_binary, target.sample = "all", estimate.variance = TRUE)

tau.multi_fert.forest_dummy <- as.data.frame(tau.multi_fert.forest_dummy)

tau.multi_fert.forest_X_dummy <- data.frame(tz_lsms_panel_estim_fert, tau.multi_fert.forest_dummy)

ggplot(tau.multi_fert.forest_X_dummy, aes(x = predictions, y = "", fill = factor(stat(quantile)))) +
    stat_density_ridges(
        geom = "density_ridges_gradient", calc_ecdf = TRUE,
        quantiles = 4, quantile_lines = TRUE
    ) +
    scale_y_discrete(expand = c(0.01, 0)) +
    scale_fill_viridis_d(name = "Quartiles") +
    expand_limits(y = 1) +
    theme_bw(base_size = 16) +
    labs(x = "Inorgatic fert use effect", y = "Density")

#
library(sp)
library(sf)
tau.multi_fert.forest_X_dummy_sp <- SpatialPointsDataFrame(cbind(tau.multi_fert.forest_X_dummy$lon_modified, tau.multi_fert.forest_X_dummy$lat_modified), data = tau.multi_fert.forest_X_dummy, proj4string = CRS("+proj=longlat +datum=WGS84"))


library(tmap)
tmap_mode("plot")
Nuse_effect_map <- tm_shape(tau.multi_fert.forest_X_dummy_sp) +
    tm_dots(col = "predictions", title = "Effect of N use on yield (kg/ha)", style = "quantile") +
    tm_layout(legend.outside = TRUE)
Nuse_effect_map

tmap_save(Nuse_effect_map, "figures/Nuse_effect_map.png", width = 600, height = 600, asp = 0)


# N Use efficiency map
library(sp)
library(sf)
tau.multi_fert.forest_X_sp <- SpatialPointsDataFrame(cbind(tau.multi_fert.forest_X$lon_modified, tau.multi_fert.forest_X$lat_modified), data = tau.multi_fert.forest_X, proj4string = CRS("+proj=longlat +datum=WGS84"))


library(tmap)
tmap_mode("plot")
Nuse_efficiency_map <- tm_shape(tau.multi_fert.forest_X_sp) +
    tm_dots(col = "predictions", title = "NUE (kg Maize/Kg N)", style = "quantile") +
    tm_layout(legend.outside = TRUE)
Nuse_efficiency_map

tmap_save(Nuse_efficiency_map, "figures/Nuse_efficiency_map.png", width = 600, height = 600, asp = 0)

# N Use  map
library(sp)
library(sf)

tau.multi_fert.forest_X_sp_small <- subset(tau.multi_fert.forest_X_sp, tau.multi_fert.forest_X_sp$N_kgha > 0)

library(tmap)
tmap_mode("plot")
Nuse_map <- tm_shape(tau.multi_fert.forest_X_sp_small) +
    tm_dots(col = "N_kgha", title = "N applied (Kg/ha)", style = "quantile") +
    tm_layout(legend.outside = TRUE)
Nuse_map

tmap_save(Nuse_map, "figures/Nuse_map.png", width = 600, height = 600, asp = 0)

10.1 Map of N Use Efficiencies overtime

library(tmap)
tmap_mode("plot")
Nuse_efficiency_map_yr <- tm_shape(tau.multi_fert.forest_X_sp) +
    tm_dots(col = "predictions", title = "NUE (kg Maize/Kg N)", style = "quantile") +
    tm_layout(legend.outside = TRUE) +
    tm_facets("year")
Nuse_efficiency_map_yr

tmap_save(Nuse_efficiency_map_yr, "figures/Nuse_efficiency_map_yr.png", width = 600, height = 600, asp = 0)

11 Mapping Descriptive Statistics

library(geodata)

TZ <- gadm(country = "TZ", level = 1, path = tempdir())
plot(TZ)

TZ_sf= st_as_sf(TZ)
TZ_sp=as_Spatial(TZ_sf)
tau.multi_fert.forest_X_sp$region_name <- over(tau.multi_fert.forest_X_sp, TZ_sp[,"NAME_1"])


# Summary by region and by year
library(modelsummary)

tau.multi_fert.forest_X_sp_dt <-tau.multi_fert.forest_X_sp@data

tau.multi_fert.forest_X_sp_dt$region_name_final=tau.multi_fert.forest_X_sp_dt$region_name$NAME_1

NUE_cont <- datasummary(Heading("region_name")*region_name_final~ Heading("N_obs") * N + Heading("percent") * Percent()+ predictions*(Mean+SD),data = tau.multi_fert.forest_X_sp_dt, output="data.frame")

NUE_cont$N_obs=as.numeric(NUE_cont$N_obs)
NUE_cont$Mean=as.numeric(NUE_cont$Mean)
NUE_cont$SD=as.numeric(NUE_cont$SD)

library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('NUE_cont', 'NUE_cont.csv')"
        ),
        reactable(
            NUE_cont,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "NUE_cont"
        )
    )
)

# Remove regions with fewer observations than 50
NUE_cont=subset(NUE_cont,NUE_cont$N_obs> 50)

NUE_cont_sf=merge(TZ_sf,NUE_cont, by.x="NAME_1",by.y="region_name")

# Map the 

library(tmap)
tmap_mode("plot")
tm_shape(NUE_cont_sf) +
  tm_polygons(col = "Mean", title = "Average NUE", style = "quantile") +
  tm_layout(legend.outside = TRUE)

12 Mapping results by year and region

mean_na <- function(x) mean(x, na.rm = TRUE)
sd_na <- function(x) SD(x, na.rm = TRUE)
p25_na <- function(x) quantile(x, probs = 0.25, na.rm = TRUE)
median_na <- function(x) median(x, na.rm = TRUE)
p75_na <- function(x) quantile(x, probs = 0.75, na.rm = TRUE)

NUE_cont_region_year <- datasummary(Factor(year)+Factor(region_name_final)~Heading("N obs") * N + Heading("%") * Percent() + (predictions) * (mean_na + sd_na), data = tau.multi_fert.forest_X_sp_dt, output = "data.frame")

library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('NUE_cont_region_year', 'NUE_cont_region_year.csv')"
        ),
        reactable(
            NUE_cont_region_year,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "NUE_cont_region_year"
        )
    )
)

# Mix
library(data.table)
tau.multi_fert.forest_X_sp_dt <- data.table (tau.multi_fert.forest_X_sp_dt)
tau.multi_fert.forest_X_sp_dt$One=1

NUE_cont_region_year_mix <- tau.multi_fert.forest_X_sp_dt[,.(
  Mean=base::mean(predictions, na.rm=TRUE),
  SD=sd(predictions, na.rm = TRUE),
  N_obs=sum(One, na.rm = TRUE)
  ), by =c("year","region_name_final")]

NUE_cont_region_year_mix$year_det[NUE_cont_region_year_mix$year==1]=2008
NUE_cont_region_year_mix$year_det[NUE_cont_region_year_mix$year==2]=2010
NUE_cont_region_year_mix$year_det[NUE_cont_region_year_mix$year==3]=2012
NUE_cont_region_year_mix$year_det[NUE_cont_region_year_mix$year==4]=2014
NUE_cont_region_year_mix$year_det[NUE_cont_region_year_mix$year==5]=2020

library(reactable)
library(htmltools)
library(fontawesome)

htmltools::browsable(
    tagList(
        tags$button(
            tagList(fontawesome::fa("download"), "Download as CSV"),
            onclick = "Reactable.downloadDataCSV('NUE_cont_region_year_mix', 'NUE_cont_region_year_mix.csv')"
        ),
        reactable(
            NUE_cont_region_year_mix,
            searchable = TRUE,
            defaultPageSize = 38,
            elementId = "NUE_cont_region_year_mix"
        )
    )
)

NUE_cont_region_year_mix=subset(NUE_cont_region_year_mix,NUE_cont_region_year_mix$N_obs> 10)

NUE_cont_region_year_mix_sf=merge(TZ_sf,NUE_cont_region_year_mix, by.x="NAME_1",by.y="region_name_final")



library(tmap)
tmap_mode("plot")
NUE_year_region <- tm_shape(NUE_cont_region_year_mix_sf) +
    tm_polygons(col = "Mean", title = "NUE (kg Maize/Kg N)", style = "quantile") +
    tm_layout(legend.outside = TRUE) +
    tm_facets("year_det")
NUE_year_region

tmap_save(NUE_year_region, "figures/NUE_year_region.png", width = 600, height = 600, asp = 0)

13 Regional Profitability Analysis

14 Spatially Gridded Profitability Analysis

# Gridded yield gains


lon <- tau.multi_fert.forest_X$lon_modified
lon <- as.data.frame(lon)
lat <- tau.multi_fert.forest_X$lat_modified
lat <- as.data.frame(lat)


tau.multi_fert.forest_X <- cbind(lon, lat, tau.multi_fert.forest_X)

library(sp)
tau.multi_fert.forest_X_sp_kr <-
    SpatialPointsDataFrame(cbind(tau.multi_fert.forest_X$lon, tau.multi_fert.forest_X$lat), data = tau.multi_fert.forest_X, proj4string = CRS("+proj=longlat +datum=WGS84"))

tau.multi_fert.forest_X_sp_kr_2008 =subset(tau.multi_fert.forest_X_sp_kr,tau.multi_fert.forest_X_sp_kr$year==1)

# 2008 prediction 
library(bamlss)
set.seed(111)
f <- predictions ~  s(lon,lat)

## estimate model.
b <- bamlss(f, data = tau.multi_fert.forest_X_sp_kr)

AICc 41271.03 logPost -20732.8 logLik -20613.9 edf 21.560 eps 0.1030 iteration   1
AICc 41174.35 logPost -20648.4 logLik -20557.6 edf 29.453 eps 0.0182 iteration   2
AICc 41173.77 logPost -20648.5 logLik -20556.6 edf 30.150 eps 0.0009 iteration   3
AICc 41173.77 logPost -20648.5 logLik -20556.6 edf 30.151 eps 0.0000 iteration   4
AICc 41173.77 logPost -20648.5 logLik -20556.6 edf 30.151 eps 0.0000 iteration   4
elapsed time:  0.43sec
Starting the sampler...

|                    |   0% 23.80sec
|*                   |   5% 21.66sec  1.14sec
|**                  |  10% 31.59sec  3.51sec
|***                 |  15% 27.43sec  4.84sec
|****                |  20% 25.80sec  6.45sec
|*****               |  25% 24.09sec  8.03sec
|******              |  30% 22.19sec  9.51sec
|*******             |  35% 20.58sec 11.08sec
|********            |  40% 19.59sec 13.06sec
|*********           |  45% 17.87sec 14.62sec
|**********          |  50% 16.34sec 16.34sec
|***********         |  55% 15.00sec 18.33sec
|************        |  60% 13.58sec 20.37sec
|*************       |  65% 12.05sec 22.37sec
|**************      |  70% 10.38sec 24.22sec
|***************     |  75%  8.71sec 26.14sec
|****************    |  80%  7.03sec 28.12sec
|*****************   |  85%  5.34sec 30.25sec
|******************  |  90%  3.57sec 32.17sec
|******************* |  95%  1.78sec 33.79sec
|********************| 100%  0.00sec 35.73sec

plot(b)

# Boundary map
library(sf)
library(geodata)
set.seed(111)

TZ <- gadm(country = "TZ", level = 0, path = tempdir())
plot(TZ)

TZ_sf= st_as_sf(TZ)
TZ_sp=as_Spatial(TZ_sf)

TZ_sf_dis <- st_union(TZ_sf)
plot(TZ_sf_dis)

# Predict
elevationglobal_geodata <- elevation_global(2.5, path =tempdir())

elevationglobal_geodata_aoi <- terra::crop(elevationglobal_geodata,TZ_sf_dis)

library(raster)
elevationglobal_geodata_aoi <- raster(elevationglobal_geodata_aoi)

plot(elevationglobal_geodata_aoi)

pred <- SpatialPoints(elevationglobal_geodata_aoi)@coords
pred <- as.data.frame(pred)

names(pred)[1:2] <- c("lon", "lat")

pred <- pred %>% drop_na()

library(sp)
pred_sp <-
    SpatialPointsDataFrame(cbind(pred$lon, pred$lat), data = pred, proj4string = CRS("+proj=longlat +datum=WGS84"))


yield_gain_hat <- predict(b, newdata = pred)

yield_gain_hat <- as.data.frame(yield_gain_hat)

pred_yield_gain_hat <- cbind(pred, yield_gain_hat )

pred_yield_gain_hat$sigma <- NULL
library(terra)

yield_gain_ras <- rast(pred_yield_gain_hat, type = "xyz")
plot(yield_gain_ras )

library(raster)
yield_gain_ras2 <- raster(yield_gain_ras)

library(sf)
TZ_sf_dis_sp <- as_Spatial(TZ_sf_dis)
yield_gain_ras2_2008 <- mask(yield_gain_ras2, TZ_sf_dis_sp)
plot(yield_gain_ras2_2008, main = "Yield gains to N")

library(rasterVis)

levelplot(yield_gain_ras2_2008, layers = 1, margin = list(FUN = 'median'), contour=TRUE)

## 
library(tmap)
yield_gain_raster_map_2008=tm_shape(yield_gain_ras2_2008) +
  tm_raster(title = "Nitrogen Use Efficiency",style = "cont", palette = "viridis")+
  tm_legend(position = c("right", "top"),legend.title.size=1.2,legend.text.size=1.2)
yield_gain_raster_map_2008

tmap_save(yield_gain_raster_map_2008,"figures/yield_gain_raster_map_2008.png", dpi=300,width=4.88,height = 4.16)


# 2010 prediction 
# tau.multi_fert.forest_X_sp_kr_2010 =subset(tau.multi_fert.forest_X_sp_kr,tau.multi_fert.forest_X_sp_kr$year==1)
# 
# library(bamlss)
# set.seed(111)
# f <- predictions ~  s(lon,lat)
# 
# ## estimate model.
# b <- bamlss(f, data = tau.multi_fert.forest_X_sp_kr_2010)
# 
# plot(b)
# 
# # Boundary map
# library(sf)
# library(geodata)
# set.seed(111)
# 
# TZ <- gadm(country = "TZ", level = 0, path = tempdir())
# plot(TZ)
# 
# TZ_sf= st_as_sf(TZ)
# TZ_sp=as_Spatial(TZ_sf)
# 
# TZ_sf_dis <- st_union(TZ_sf)
# plot(TZ_sf_dis)
# 
# 
# # Predict
# elevationglobal_geodata <- elevation_global(2.5, path =tempdir())
# 
# elevationglobal_geodata_aoi <- terra::crop(elevationglobal_geodata,TZ_sf_dis)
# 
# library(raster)
# elevationglobal_geodata_aoi <- raster(elevationglobal_geodata_aoi)
# 
# plot(elevationglobal_geodata_aoi)
# 
# pred <- SpatialPoints(elevationglobal_geodata_aoi)@coords
# pred <- as.data.frame(pred)
# 
# names(pred)[1:2] <- c("lon", "lat")
# 
# pred <- pred %>% drop_na()
# 
# library(sp)
# pred_sp <-
#     SpatialPointsDataFrame(cbind(pred$lon, pred$lat), data = pred, proj4string = CRS("+proj=longlat +datum=WGS84"))
# 
# 
# yield_gain_hat <- predict(b, newdata = pred)
# 
# yield_gain_hat <- as.data.frame(yield_gain_hat)
# 
# pred_yield_gain_hat <- cbind(pred, yield_gain_hat )
# 
# pred_yield_gain_hat$sigma <- NULL
# library(terra)
# 
# yield_gain_ras <- rast(pred_yield_gain_hat, type = "xyz")
# plot(yield_gain_ras )
# 
# library(raster)
# yield_gain_ras2 <- raster(yield_gain_ras)
# 
# library(sf)
# TZ_sf_dis_sp <- as_Spatial(TZ_sf_dis)
# yield_gain_ras2_2010 <- mask(yield_gain_ras2, TZ_sf_dis_sp)
# plot(yield_gain_ras2_2010, main = "Yield gains to N")
# 
# library(rasterVis)
# 
# levelplot(yield_gain_ras2_2010, layers = 1, margin = list(FUN = 'median'), contour=TRUE)
# 
# ## 
# library(tmap)
# yield_gain_raster_map_2010=tm_shape(yield_gain_ras2_2010) +
#   tm_raster(title = "Nitrogen Use Efficiency",style = "cont", palette = "viridis")+
#   tm_legend(position = c("right", "top"),legend.title.size=1.2,legend.text.size=1.2)
# yield_gain_raster_map_2010
# 
# tmap_save(yield_gain_raster_map_2010,"figures/yield_gain_raster_map_2010.png", dpi=300,width=4.88,height = 4.16)
# 
# # 2012 prediction
# 
# tau.multi_fert.forest_X_sp_kr_2012 =subset(tau.multi_fert.forest_X_sp_kr,tau.multi_fert.forest_X_sp_kr$year==3)
# 
# library(bamlss)
# set.seed(111)
# f <- predictions ~  s(lon,lat)
# 
# ## estimate model.
# b <- bamlss(f, data = tau.multi_fert.forest_X_sp_kr_2012)
# 
# plot(b)
# 
# # Boundary map
# library(sf)
# library(geodata)
# set.seed(111)
# 
# TZ <- gadm(country = "TZ", level = 0, path = tempdir())
# plot(TZ)
# 
# TZ_sf= st_as_sf(TZ)
# TZ_sp=as_Spatial(TZ_sf)
# 
# TZ_sf_dis <- st_union(TZ_sf)
# plot(TZ_sf_dis)
# 
# 
# # Predict
# elevationglobal_geodata <- elevation_global(2.5, path =tempdir())
# 
# elevationglobal_geodata_aoi <- terra::crop(elevationglobal_geodata,TZ_sf_dis)
# 
# library(raster)
# elevationglobal_geodata_aoi <- raster(elevationglobal_geodata_aoi)
# 
# plot(elevationglobal_geodata_aoi)
# 
# pred <- SpatialPoints(elevationglobal_geodata_aoi)@coords
# pred <- as.data.frame(pred)
# 
# names(pred)[1:2] <- c("lon", "lat")
# 
# pred <- pred %>% drop_na()
# 
# library(sp)
# pred_sp <-
#     SpatialPointsDataFrame(cbind(pred$lon, pred$lat), data = pred, proj4string = CRS("+proj=longlat +datum=WGS84"))
# 
# 
# yield_gain_hat <- predict(b, newdata = pred)
# 
# yield_gain_hat <- as.data.frame(yield_gain_hat)
# 
# pred_yield_gain_hat <- cbind(pred, yield_gain_hat )
# 
# pred_yield_gain_hat$sigma <- NULL
# library(terra)
# 
# yield_gain_ras <- rast(pred_yield_gain_hat, type = "xyz")
# plot(yield_gain_ras )
# 
# library(raster)
# yield_gain_ras2 <- raster(yield_gain_ras)
# 
# library(sf)
# TZ_sf_dis_sp <- as_Spatial(TZ_sf_dis)
# yield_gain_ras2_2010 <- mask(yield_gain_ras2, TZ_sf_dis_sp)
# plot(yield_gain_ras2_2010, main = "Yield gains to N")
# 
# library(rasterVis)
# 
# levelplot(yield_gain_ras2_2012, layers = 1, margin = list(FUN = 'median'), contour=TRUE)
# 
# ## 
# library(tmap)
# yield_gain_raster_map_2012=tm_shape(yield_gain_ras2_2010) +
#   tm_raster(title = "Nitrogen Use Efficiency",style = "cont", palette = "viridis")+
#   tm_legend(position = c("right", "top"),legend.title.size=1.2,legend.text.size=1.2)
# yield_gain_raster_map_2010
# 
# tmap_save(yield_gain_raster_map_2012,"figures/yield_gain_raster_map_2012.png", dpi=300,width=4.88,height = 4.16)


# 2014




# 2020